T$ \overline{T} $ deformation in SCFTs and integrable supersymmetric theories

Ebert, Stephen; Sun, Hao-Yu; Sun, Zhengdi

doi:10.1007/jhep09(2021)082

Title: T$$ \overline{T} $$ deformation in SCFTs and integrable supersymmetric theories

Abstract

We calculate the $ \mathcal{S} $-multiplets for two-dimensional Euclidean $ \mathcal{N} $ = (0, 2) and $ \mathcal{N} $ = (2, 2) superconformal field theories under the T$ \overline{T} $ deformation at leading order of perturbation theory in the deformation coupling. Then, from these $ \mathcal{N} $ = (0, 2) deformed multiplets, we calculate two- and three-point correlators. We show the $ \mathcal{N} $ = (0, 2) chiral ring’s elements do not flow under the T$ \overline{T} $ deformation. Specializing to integrable supersymmetric seed theories, such as $ \mathcal{N} $ = (2, 2) Landau-Ginzburg models, we use the thermodynamic Bethe ansatz to study the S-matrices and ground state energies. From both an S-matrix perspective and Melzer’s folding prescription, we show that the deformed ground state energy obeys the inviscid Burgers’ equation. Finally, we show that several indices independent of D-term perturbations including the Witten index, Cecotti-Fendley-Intriligator-Vafa index and elliptic genus do not flow under the T$ \overline{T} $ deformation.

Authors:

^[1];

^[2];

^[3]

Univ. of California, Los Angeles, CA (United States). Mani L. Bhaumik Institute for Theoretical Physics
Univ. of California, Berkeley, CA (United States). Dept. of Physics. Center for Theoretical Physics; Univ. of Texas, Austin, TX (United States). Dept. of Physics
Univ. of California, San Diego, CA (United States). Dept. of Physics

Publication Date:: Wed Sep 15 00:00:00 EDT 2021

Research Org.:: Univ. of California, San Diego, CA (United States)

Sponsoring Org.:: USDOE Office of Science (SC); Simons Foundatoin

OSTI Identifier:: 1851197

Grant/Contract Number:: SC0009919; 568420

Resource Type:: Accepted Manuscript

Journal Name:: Journal of High Energy Physics (Online)

Additional Journal Information:: Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2021; Journal Issue: 9; Journal ID: ISSN 1029-8479

Publisher:: Springer Nature

Country of Publication:: United States

Language:: English

Subject:: 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Physics; Conformal field theory; Integrable field theories; Superspaces

Citation Formats


                    Ebert, Stephen, Sun, Hao-Yu, and Sun, Zhengdi. T$ \overline{T} $ deformation in SCFTs and integrable supersymmetric theories.  United States: N. p., 2021. 
Web.  doi:10.1007/jhep09(2021)082.

Copy to clipboard


                    Ebert, Stephen, Sun, Hao-Yu, & Sun, Zhengdi. T$ \overline{T} $ deformation in SCFTs and integrable supersymmetric theories.  United States.  https://doi.org/10.1007/jhep09(2021)082

Copy to clipboard


                    Ebert, Stephen, Sun, Hao-Yu, and Sun, Zhengdi. Wed .  
"T$ \overline{T} $ deformation in SCFTs and integrable supersymmetric theories".  United States.  https://doi.org/10.1007/jhep09(2021)082.  https://www.osti.gov/servlets/purl/1851197.

Copy to clipboard


                    
@article{osti_1851197,

  title        = {T$ \overline{T} $ deformation in SCFTs and integrable supersymmetric theories},

  author       = {Ebert, Stephen and Sun, Hao-Yu and Sun, Zhengdi},

  abstractNote = {We calculate the \( \mathcal{S} \)-multiplets for two-dimensional Euclidean \( \mathcal{N} \) = (0, 2) and \( \mathcal{N} \) = (2, 2) superconformal field theories under the T\( \overline{T} \) deformation at leading order of perturbation theory in the deformation coupling. Then, from these \( \mathcal{N} \) = (0, 2) deformed multiplets, we calculate two- and three-point correlators. We show the \( \mathcal{N} \) = (0, 2) chiral ring’s elements do not flow under the T\( \overline{T} \) deformation. Specializing to integrable supersymmetric seed theories, such as \( \mathcal{N} \) = (2, 2) Landau-Ginzburg models, we use the thermodynamic Bethe ansatz to study the S-matrices and ground state energies. From both an S-matrix perspective and Melzer’s folding prescription, we show that the deformed ground state energy obeys the inviscid Burgers’ equation. Finally, we show that several indices independent of D-term perturbations including the Witten index, Cecotti-Fendley-Intriligator-Vafa index and elliptic genus do not flow under the T\( \overline{T} \) deformation.},

  doi          = {10.1007/jhep09(2021)082},

  journal      = {Journal of High Energy Physics (Online)},

  number       = 9,

  volume       = 2021,

  place        = {United States},

  year         = {Wed Sep 15 00:00:00 EDT 2021},

  month        = {Wed Sep 15 00:00:00 EDT 2021}

}

Copy to clipboard

Journal Article:

Free Publicly Available Full Text

Accepted Manuscript (DOE)

Publisher's Version of Record

https://doi.org/10.1007/jhep09(2021)082

Other availability

Search WorldCat to find libraries that may hold this journal

Save / Share:

Export Metadata

Save to My Library

Works referenced in this record:

Excited states by analytic continuation of TBA equations
journal, December 1996

Dorey, Patrick; Tateo, Roberto
Nuclear Physics B, Vol. 482, Issue 3
DOI: 10.1016/S0550-3213(96)00516-0

T T ¯ $$ \mathrm{T}\overline{\mathrm{T}} $$ -deformed 2D quantum field theories
journal, October 2016

Cavaglià, Andrea; Negro, Stefano; Szécsényi, István M.
Journal of High Energy Physics, Vol. 2016, Issue 10
DOI: 10.1007/JHEP10(2016)112

Excited-state thermodynamics
journal, May 1992

Fendley, Paul
Nuclear Physics B, Vol. 374, Issue 3
DOI: 10.1016/0550-3213(92)90404-Y

Anomalies and modular invariance in string theory
journal, September 1986

Schellekens, A. N.; Warner, N. P.
Physics Letters B, Vol. 177, Issue 3-4
DOI: 10.1016/0370-2693(86)90760-4

Thermodynamic Bethe Ansatz for N = 1 supersymmetric theories
journal, April 1996

Moriconi, M.; Schoutens, K.
Nuclear Physics B, Vol. 464, Issue 3
DOI: 10.1016/0550-3213(95)00649-4

Scattering and thermodynamics of fractionally-charged supersymmetric solitons
journal, March 1992

Fendley, P.; Intriligator, K.
Nuclear Physics B, Vol. 372, Issue 3
DOI: 10.1016/0550-3213(92)90365-I

A new supersymmetric index
journal, November 1992

Cecotti, Sergio; Fendley, Paul; Intriligator, Ken
Nuclear Physics B, Vol. 386, Issue 2
DOI: 10.1016/0550-3213(92)90572-S

T T ¯ $$ \mathrm{T}\overline{\mathrm{T}} $$ and LST
journal, July 2017

Giveon, Amit; Itzhaki, Nissan; Kutasov, David
Journal of High Energy Physics, Vol. 2017, Issue 7
DOI: 10.1007/JHEP07(2017)122

Supercurrents and brane currents in diverse dimensions
journal, July 2011

Dumitrescu, Thomas T.; Seiberg, Nathan
Journal of High Energy Physics, Vol. 2011, Issue 7
DOI: 10.1007/JHEP07(2011)095

A Chern-Simons action for three-dimensional anti-de Sitter supergravity theories
journal, November 1986

Achúcarro, A.; Townsend, P. K.
Physics Letters B, Vol. 180, Issue 1-2
DOI: 10.1016/0370-2693(86)90140-1

Supersymmetry in boundary integrable models
journal, September 1995

Warner, N. P.
Nuclear Physics B, Vol. 450, Issue 3
DOI: 10.1016/0550-3213(95)00402-E

Coupled Burgers equations: A model of polydispersive sedimentation
journal, October 1995

Esipov, Sergei E.
Physical Review E, Vol. 52, Issue 4
DOI: 10.1103/PhysRevE.52.3711

T T ¯ $$ T\overline{T} $$ -deformations in closed form
journal, June 2018

Bonelli, Giulio; Doroud, Nima; Zhu, Mengqi
Journal of High Energy Physics, Vol. 2018, Issue 6
DOI: 10.1007/JHEP06(2018)149

Excited-state energies and supersymmetric indices
journal, January 1997

Fendley, Paul
Advances in Theoretical and Mathematical Physics, Vol. 1, Issue 2
DOI: 10.4310/ATMP.1997.v1.n2.a2

Constraints on supersymmetry breaking
journal, July 1982

Witten, Edward
Nuclear Physics B, Vol. 202, Issue 2
DOI: 10.1016/0550-3213(82)90071-2

Modular invariance and uniqueness of T T ¯ $$ T\overline{T} $$ deformed CFT
journal, January 2019

Aharony, Ofer; Datta, Shouvik; Giveon, Amit
Journal of High Energy Physics, Vol. 2019, Issue 1
DOI: 10.1007/JHEP01(2019)086

On correlation functions in $J\bar{T}$ -deformed CFTs
journal, April 2019

Guica, Monica
Journal of Physics A: Mathematical and Theoretical, Vol. 52, Issue 18
DOI: 10.1088/1751-8121/ab0ef3

Moving the CFT into the bulk with T T ¯ $$ T\overline{T} $$
journal, April 2018

McGough, Lauren; Mezei, Márk; Verlinde, Herman
Journal of High Energy Physics, Vol. 2018, Issue 4
DOI: 10.1007/JHEP04(2018)010

TT¯$$ T\overline{T} $$ deformation of correlation functions
journal, December 2019

Cardy, John
Journal of High Energy Physics, Vol. 2019, Issue 12
DOI: 10.1007/JHEP12(2019)160

A pedagogical review on solvable irrelevant deformations of 2D quantum field theory
journal, March 2021

Jiang, Yunfeng
Communications in Theoretical Physics, Vol. 73, Issue 5
DOI: 10.1088/1572-9494/abe4c9

The correlation function of (1, 1) and (2, 2) supersymmetric theories with $$ T\overline{T} $$ deformation
journal, April 2020

He, Song; Sun, Jia-Rui; Sun, Yuan
Journal of High Energy Physics, Vol. 2020, Issue 4
DOI: 10.1007/JHEP04(2020)100

A solvable irrelevant deformation of AdS3/CFT2
journal, December 2017

Giveon, Amit; Itzhaki, Nissan; Kutasov, David
Journal of High Energy Physics, Vol. 2017, Issue 12
DOI: 10.1007/JHEP12(2017)155

Scattering and thermodynamics in integrable N = 2 theories
journal, August 1992

Fendley, P.; Intriligator, K.
Nuclear Physics B, Vol. 380, Issue 1-2
DOI: 10.1016/0550-3213(92)90523-E

Deriving boundary S matrices
journal, October 1994

Fendley, P.; Saleur, H.
Nuclear Physics B, Vol. 428, Issue 3
DOI: 10.1016/0550-3213(94)90369-7

Fundamental strings, holography and nonlinear superconformal algebras
journal, November 2007

Kraus, Per; Shah, Akhil; Larsen, Finn
Journal of High Energy Physics, Vol. 2007, Issue 11
DOI: 10.1088/1126-6708/2007/11/028

$$ T\overline{T} $$-deformation of q-Yang-Mills theory
journal, November 2020

Santilli, Leonardo; Szabo, Richard J.; Tierz, Miguel
Journal of High Energy Physics, Vol. 2020, Issue 11
DOI: 10.1007/JHEP11(2020)086

T T ¯ deformations with N = ( 0 , 2 ) supersymmetry
journal, August 2019

Jiang, Hongliang; Sfondrini, Alessandro; Tartaglino-Mazzucchelli, Gabriele
Physical Review D, Vol. 100, Issue 4
DOI: 10.1103/PhysRevD.100.046017

On space of integrable quantum field theories
journal, February 2017

Smirnov, F. A.; Zamolodchikov, A. B.
Nuclear Physics B, Vol. 915
DOI: 10.1016/j.nuclphysb.2016.12.014

Reflection matrices for integrable N = 1 supersymmetric theories
journal, March 1997

Moriconi, M.; Schoutens, K.
Nuclear Physics B, Vol. 487, Issue 3
DOI: 10.1016/S0550-3213(96)00632-3

Supersymmetry and T T ¯ $$ T\overline{T} $$ deformations
journal, April 2019

Chang, Chih-Kai; Ferko, Christian; Sethi, Savdeep
Journal of High Energy Physics, Vol. 2019, Issue 4
DOI: 10.1007/JHEP04(2019)131

Anomaly cancellation and self-dual lattices
journal, December 1986

Schellekens, A. N.; Warner, N. P.
Physics Letters B, Vol. 181, Issue 3-4
DOI: 10.1016/0370-2693(86)90059-6

Geometrizing $$ T\overline{T} $$
journal, March 2021

Caputa, Pawel; Datta, Shouvik; Jiang, Yunfeng
Journal of High Energy Physics, Vol. 2021, Issue 3
DOI: 10.1007/JHEP03(2021)140

Thermodynamic Bethe ansatz for RSOS scattering theories
journal, July 1991

Zamolodchikov, Al. B.
Nuclear Physics B, Vol. 358, Issue 3
DOI: 10.1016/0550-3213(91)90422-T

Expectation value of $$ \mathrm{T}\overline{\mathrm{T}} $$ operator in curved spacetimes
journal, February 2020

Jiang, Yunfeng
Journal of High Energy Physics, Vol. 2020, Issue 2
DOI: 10.1007/JHEP02(2020)094

Cutoff AdS3 versus the T T ¯ $$ T\overline{T} $$ deformation
journal, July 2018

Kraus, Per; Liu, Junyu; Marolf, Donald
Journal of High Energy Physics, Vol. 2018, Issue 7
DOI: 10.1007/JHEP07(2018)027

Integrability and renormalization under $T \bar{T}$
journal, September 2020

Rosenhaus, Vladimir; Smolkin, Michael
Physical Review D, Vol. 102, Issue 6
DOI: 10.1103/PhysRevD.102.065009

Non-linear supersymmetry and TT¯$$ T\overline{T} $$-like flows
journal, February 2020

Ferko, Christian; Jiang, Hongliang; Sethi, Savdeep
Journal of High Energy Physics, Vol. 2020, Issue 2
DOI: 10.1007/JHEP02(2020)016

Supersymmetric extension of the sine-Gordon theory with integrable boundary interactions
journal, October 1995

Inami, Takeo; Odake, Satoru; Zhang, Yao-Zhong
Physics Letters B, Vol. 359, Issue 1-2
DOI: 10.1016/0370-2693(95)01072-X

Exact N = 2 Landau-Ginzburg flows
journal, February 1994

Fendley, Paul; Intriligator, Ken
Nuclear Physics B, Vol. 413, Issue 3
DOI: 10.1016/0550-3213(94)90006-X

Thermodynamic Bethe ansatz in relativistic models: Scaling 3-state potts and Lee-Yang models
journal, October 1990

Zamolodchikov, Al. B.
Nuclear Physics B, Vol. 342, Issue 3
DOI: 10.1016/0550-3213(90)90333-9

$T \bar{T}$ flows and (2, 2) supersymmetry
journal, January 2020

Chang, Chih-Kai; Ferko, Christian; Sethi, Savdeep
Physical Review D, Vol. 101, Issue 2
DOI: 10.1103/PhysRevD.101.026008

A path integral realization of joint $$ J\overline{T} $$, $$ T\overline{J} $$ and $$ T\overline{T} $$ flows
journal, July 2020

Aguilera-Damia, Jeremías; Giraldo-Rivera, Victor I.; Mazenc, Edward A.
Journal of High Energy Physics, Vol. 2020, Issue 7
DOI: 10.1007/JHEP07(2020)085

Elliptic genera and quantum field theory
journal, December 1987

Witten, Edward
Communications in Mathematical Physics, Vol. 109, Issue 4
DOI: 10.1007/BF01208956

An integrable Lorentz-breaking deformation of two-dimensional CFTs
journal, January 2018

Guica, Monica
SciPost Physics, Vol. 5, Issue 5
DOI: 10.21468/SciPostPhys.5.5.048

Purely elastic scattering theories and their ultraviolet limits
journal, July 1990

Klassen, Timothy R.; Melzer, Ezer
Nuclear Physics B, Vol. 338, Issue 3
DOI: 10.1016/0550-3213(90)90643-R

Supersymmetric J $$ \overline{T} $$ and T $$ \overline{J} $$ deformations
journal, May 2020

Jiang, Hongliang; Tartaglino-Mazzucchelli, Gabriele
Journal of High Energy Physics, Vol. 2020, Issue 5
DOI: 10.1007/JHEP05(2020)140

Hybrid-NLIE for the AdS/CFT spectral problem
journal, August 2012

Balog, János; Hegedűs, Árpád
Journal of High Energy Physics, Vol. 2012, Issue 8
DOI: 10.1007/JHEP08(2012)022

A non-abelian analogue of DBI from $T \overline{T}$
journal, January 2020

Brennan, T. Daniel; Ferko, Christian; Sethi, Savdeep
SciPost Physics, Vol. 8, Issue 4
DOI: 10.21468/SciPostPhys.8.4.052

$T \bar{T}$ deformation of the compactified boson and its interpretation in lattice gauge theory
journal, July 2020

Beratto, E.; Billò, M.; Caselle, M.
Physical Review D, Vol. 102, Issue 1
DOI: 10.1103/PhysRevD.102.014504

T T ¯ $$ T\overline{T} $$ deformed partition functions
journal, August 2018

Datta, Shouvik; Jiang, Yunfeng
Journal of High Energy Physics, Vol. 2018, Issue 8
DOI: 10.1007/JHEP08(2018)106

Anomalies, characters and strings
journal, January 1987

Schellekens, A. N.; Warner, N. P.
Nuclear Physics B, Vol. 287
DOI: 10.1016/0550-3213(87)90108-8

Correlation functions, entanglement and chaos in the $$ T\overline{T}/J\overline{T} $$-deformed CFTs
journal, February 2020

He, Song; Shu, Hongfei
Journal of High Energy Physics, Vol. 2020, Issue 2
DOI: 10.1007/JHEP02(2020)088

$$ T\overline{T} $$-deformed actions and (1,1) supersymmetry
journal, October 2019

Coleman, Evan A.; Aguilera-Damia, Jeremias; Freedman, Daniel Z.
Journal of High Energy Physics, Vol. 2019, Issue 10
DOI: 10.1007/JHEP10(2019)080

Two-dimensional SCFTs from wrapped branes and c-extremization
journal, June 2013

Benini, Francesco; Bobev, Nikolay
Journal of High Energy Physics, Vol. 2013, Issue 6
DOI: 10.1007/JHEP06(2013)005

Integrable deformations and scattering matrices for the N = 2 supersymmetric discrete series
journal, June 1990

Fendley, P.; Mathur, S. D.; Vafa, C.
Physics Letters B, Vol. 243, Issue 3
DOI: 10.1016/0370-2693(90)90848-Z

Large N phase transition in T T ¯ $$ T\overline{T} $$ -deformed 2d Yang-Mills theory on the sphere
journal, January 2019

Santilli, Leonardo; Tierz, Miguel
Journal of High Energy Physics, Vol. 2019, Issue 1
DOI: 10.1007/JHEP01(2019)054

Central charges without finite-size effects
journal, December 1993

Fendley, Paul; Intriligator, Ken
Physics Letters B, Vol. 319, Issue 1-3
DOI: 10.1016/0370-2693(93)90792-G

Nonlinear integral equations for the finite size effects of RSOS and vertex-models and related quantum field theories
journal, January 2006

Hegedűs, Árpád
Nuclear Physics B, Vol. 732, Issue 3
DOI: 10.1016/j.nuclphysb.2005.10.041

Structure of N= 2 superconformally invariant unitary ‘‘minimal’’ theories: Operator algebra and correlation functions
journal, November 1987

Kiritsis, Elias B.
Physical Review D, Vol. 36, Issue 10
DOI: 10.1103/PhysRevD.36.3048

Topological sigma models
journal, September 1988

Witten, Edward
Communications in Mathematical Physics, Vol. 118, Issue 3
DOI: 10.1007/BF01466725

Hybrid NLIE for the mirror AdS ₅ × S ⁵
journal, May 2011

Suzuki, Ryo
Journal of Physics A: Mathematical and Theoretical, Vol. 44, Issue 23
DOI: 10.1088/1751-8113/44/23/235401

On T T ¯ $$ T\overline{T} $$ deformations and supersymmetry
journal, June 2019

Baggio, Marco; Sfondrini, Alessandro; Tartaglino-Mazzucchelli, Gabriele
Journal of High Energy Physics, Vol. 2019, Issue 6
DOI: 10.1007/jhep06(2019)063

Similar Records in DOE PAGES and OSTI.GOV collections:

BPS Wilson loop in $$\mathcal{N}$$ = 2 superconformal SU(N) “orientifold” gauge theory and weak-strong coupling interpolation

Journal Article Beccaria, M. ; Dunne, G. V. ; Tseytlin, A. A. - Journal of High Energy Physics (Online)

We consider the expectation value $ \left\langle \mathcal{W}\right\rangle $ of the circular BPS Wilson loop in $ \mathcal{N} $ = 2 superconformal SU(N) gauge theory containing a vector multiplet coupled to two hypermultiplets in rank-2 symmetric and antisymmetric representations. This theory admits a regular large N expansion, is planar-equivalent to $ \mathcal{N} $ = 4 SYM theory and is expected to be dual to a certain orbifold/orientifold projection of AdS₅ × S⁵ superstring theory. On the string theory side $ \left\langle \mathcal{W}\right\rangle $ is represented by the path integral expanded near the same AdS₂ minimal surface as in the maximallymore »« less
https://doi.org/10.1007/jhep07(2021)085

Full Text Available
Equivariant Verlinde Algebra from Superconformal Index and Argyres–Seiberg Duality

Journal Article Gukov, Sergei ; Pei, Du ; Yan, Wenbin ; ... - Communications in Mathematical Physics

Here, we show the equivalence between two seemingly distinct 2d TQFTs: one comes from the “Coulomb branch index” of the class ${{\mathcal S}}$ theory ${T[\Sigma,G]}$ on ${L(k,1) \times S^1}$, the other is the ${^L G}$ “equivariant Verlinde formula”, or equivalently partition function of ${^L G_{\mathbb{C}}}$ complex Chern–Simons theory on ${\Sigma\times S^1}$. We first derive this equivalence using the M-theory geometry and show that the gauge groups appearing on the two sides are naturally G and its Langlands dual ${^L G}$. When G is not simply-connected, we provide a recipe of computing the index of ${T[\Sigma,G]}$ as summation over the indicesmore »« less
Cited by 8
https://doi.org/10.1007/s00220-017-3074-8

Full Text Available
Prompt and non-prompt J/ψ production cross sections at midrapidity in proton-proton collisions at $$ \sqrt{\mathrm{s}} $$ = 5.02 and 13 TeV

Journal Article Acharya, S ; Adamova, D ; Adler, A ; ... - Journal of High Energy Physics (Online)

The production of J/ψ is measured at midrapidity (|y| < 0.9) in proton-proton collisions at $ \sqrt{s} $ = 5.02 and 13 TeV, through the dielectron decay channel, using the ALICE detector at the Large Hadron Collider. The data sets used for the analyses correspond to integrated luminosities of $ \mathcal{L} $_int = 19.4 ± 0.4 nb^-1 and $ \mathcal{L} $_int = 32.2 ± 0.5 nb^-1 at $ \sqrt{s} $ = 5.02 and 13 TeV, respectively. The fraction of non-prompt J/ψ mesons, i.e. those originating from the decay of beauty hadrons, is measured down to a transverse momentum p_T =more »« less
https://doi.org/10.1007/jhep03(2022)190

Full Text Available
Determining the leading-order contact term in neutrinoless double β decay

Journal Article Cirigliano, Vincenzo ; Dekens, Wouter ; de Vries, Jordy ; ... - Journal of High Energy Physics (Online)

We present a method to determine the leading-order (LO) contact term contributing to the nn → ppe^-e^- amplitude through the exchange of light Majorana neutrinos. Our approach is based on the representation of the amplitude as the momentum integral of a known kernel (proportional to the neutrino propagator) times the generalized forward Compton scattering amplitude n(p₁)n(p₂)W⁺(k) → $ p\left({p}_1^{\prime}\right)p\left({p}_2^{\prime}\right){W}^{-}(k) $, in analogy to the Cottingham formula for the electromagnetic contribution to hadron masses. We construct model-independent representations of the integrand in the low- and high-momentum regions, through chiral EFT and the operator product expansion, respectively. We then construct a modelmore »« less
https://doi.org/10.1007/jhep05(2021)289

Full Text Available
$ \mathcal{N} $ = 2 supersymmetric partially massless fields and other exotic non-unitary superconformal representations

Journal Article Bittermann, Noah ; Garcia-Saenz, Sebastian ; Hinterbichler, Kurt ; ... - Journal of High Energy Physics (Online)

We find and classify the simplest $ \mathcal{N} $ = 2 SUSY multiplets on AdS₄ which contain partially massless fields. We do this by studying representations of the $ \mathcal{N} $ = 2, d = 3 superconformal algebra of the boundary, including new shortening conditions that arise in the non-unitary regime. Unlike the $ \mathcal{N} $ = 1 case, the simplest $ \mathcal{N} $ = 2 multiplet containing a partially massless spin-2 is short, containing several exotic fields. More generally, we argue that $ \mathcal{N} $ = 2 supersymmetry allows for short multiplets that contain partially massless spin-s particles ofmore » depth t = s – 2.« less
https://doi.org/10.1007/jhep08(2021)115

Full Text Available

Similar Records

Title: T$$ \overline{T} $$ deformation in SCFTs and integrable supersymmetric theories

Abstract

Citation Formats

Excited states by analytic continuation of TBA equations journal, December 1996

T T ¯ $$ \mathrm{T}\overline{\mathrm{T}} $$ -deformed 2D quantum field theories journal, October 2016

Excited-state thermodynamics journal, May 1992

Anomalies and modular invariance in string theory journal, September 1986

Thermodynamic Bethe Ansatz for N = 1 supersymmetric theories journal, April 1996

Scattering and thermodynamics of fractionally-charged supersymmetric solitons journal, March 1992

A new supersymmetric index journal, November 1992

T T ¯ $$ \mathrm{T}\overline{\mathrm{T}} $$ and LST journal, July 2017

Supercurrents and brane currents in diverse dimensions journal, July 2011

A Chern-Simons action for three-dimensional anti-de Sitter supergravity theories journal, November 1986

Supersymmetry in boundary integrable models journal, September 1995

Coupled Burgers equations: A model of polydispersive sedimentation journal, October 1995

T T ¯ $$ T\overline{T} $$ -deformations in closed form journal, June 2018

Excited-state energies and supersymmetric indices journal, January 1997

Constraints on supersymmetry breaking journal, July 1982

Modular invariance and uniqueness of T T ¯ $$ T\overline{T} $$ deformed CFT journal, January 2019

On correlation functions in $J\bar{T}$ -deformed CFTs journal, April 2019

Moving the CFT into the bulk with T T ¯ $$ T\overline{T} $$ journal, April 2018

TT¯$$ T\overline{T} $$ deformation of correlation functions journal, December 2019

A pedagogical review on solvable irrelevant deformations of 2D quantum field theory journal, March 2021

The correlation function of (1, 1) and (2, 2) supersymmetric theories with $$ T\overline{T} $$ deformation journal, April 2020

A solvable irrelevant deformation of AdS3/CFT2 journal, December 2017

Scattering and thermodynamics in integrable N = 2 theories journal, August 1992

Deriving boundary S matrices journal, October 1994

Fundamental strings, holography and nonlinear superconformal algebras journal, November 2007

$$ T\overline{T} $$-deformation of q-Yang-Mills theory journal, November 2020

T T ¯ deformations with N = ( 0 , 2 ) supersymmetry journal, August 2019

On space of integrable quantum field theories journal, February 2017

Reflection matrices for integrable N = 1 supersymmetric theories journal, March 1997

Supersymmetry and T T ¯ $$ T\overline{T} $$ deformations journal, April 2019

Anomaly cancellation and self-dual lattices journal, December 1986

Geometrizing $$ T\overline{T} $$ journal, March 2021

Thermodynamic Bethe ansatz for RSOS scattering theories journal, July 1991

Expectation value of $$ \mathrm{T}\overline{\mathrm{T}} $$ operator in curved spacetimes journal, February 2020

Cutoff AdS3 versus the T T ¯ $$ T\overline{T} $$ deformation journal, July 2018

Integrability and renormalization under T T ¯ journal, September 2020

Non-linear supersymmetry and TT¯$$ T\overline{T} $$-like flows journal, February 2020

Supersymmetric extension of the sine-Gordon theory with integrable boundary interactions journal, October 1995

Exact N = 2 Landau-Ginzburg flows journal, February 1994

Thermodynamic Bethe ansatz in relativistic models: Scaling 3-state potts and Lee-Yang models journal, October 1990

T T ¯ flows and (2, 2) supersymmetry journal, January 2020

A path integral realization of joint $$ J\overline{T} $$, $$ T\overline{J} $$ and $$ T\overline{T} $$ flows journal, July 2020

Elliptic genera and quantum field theory journal, December 1987

An integrable Lorentz-breaking deformation of two-dimensional CFTs journal, January 2018

Purely elastic scattering theories and their ultraviolet limits journal, July 1990

Supersymmetric J $$ \overline{T} $$ and T $$ \overline{J} $$ deformations journal, May 2020

Hybrid-NLIE for the AdS/CFT spectral problem journal, August 2012

A non-abelian analogue of DBI from $T \overline{T}$ journal, January 2020

T T ¯ deformation of the compactified boson and its interpretation in lattice gauge theory journal, July 2020

T T ¯ $$ T\overline{T} $$ deformed partition functions journal, August 2018

Anomalies, characters and strings journal, January 1987

Correlation functions, entanglement and chaos in the $$ T\overline{T}/J\overline{T} $$-deformed CFTs journal, February 2020

$$ T\overline{T} $$-deformed actions and (1,1) supersymmetry journal, October 2019

Two-dimensional SCFTs from wrapped branes and c-extremization journal, June 2013

Integrable deformations and scattering matrices for the N = 2 supersymmetric discrete series journal, June 1990

Large N phase transition in T T ¯ $$ T\overline{T} $$ -deformed 2d Yang-Mills theory on the sphere journal, January 2019

Central charges without finite-size effects journal, December 1993

Nonlinear integral equations for the finite size effects of RSOS and vertex-models and related quantum field theories journal, January 2006

Structure of N= 2 superconformally invariant unitary ‘‘minimal’’ theories: Operator algebra and correlation functions journal, November 1987

Topological sigma models journal, September 1988

Hybrid NLIE for the mirror AdS 5 × S 5 journal, May 2011

On T T ¯ $$ T\overline{T} $$ deformations and supersymmetry journal, June 2019

Excited states by analytic continuation of TBA equations
journal, December 1996

T T ¯ $$ \mathrm{T}\overline{\mathrm{T}} $$ -deformed 2D quantum field theories
journal, October 2016

Excited-state thermodynamics
journal, May 1992

Anomalies and modular invariance in string theory
journal, September 1986

Thermodynamic Bethe Ansatz for N = 1 supersymmetric theories
journal, April 1996

Scattering and thermodynamics of fractionally-charged supersymmetric solitons
journal, March 1992

A new supersymmetric index
journal, November 1992

T T ¯ $$ \mathrm{T}\overline{\mathrm{T}} $$ and LST
journal, July 2017

Supercurrents and brane currents in diverse dimensions
journal, July 2011

A Chern-Simons action for three-dimensional anti-de Sitter supergravity theories
journal, November 1986

Supersymmetry in boundary integrable models
journal, September 1995

Coupled Burgers equations: A model of polydispersive sedimentation
journal, October 1995

T T ¯ $$ T\overline{T} $$ -deformations in closed form
journal, June 2018

Excited-state energies and supersymmetric indices
journal, January 1997

Constraints on supersymmetry breaking
journal, July 1982

Modular invariance and uniqueness of T T ¯ $$ T\overline{T} $$ deformed CFT
journal, January 2019

On correlation functions in $J\bar{T}$ -deformed CFTs
journal, April 2019

Moving the CFT into the bulk with T T ¯ $$ T\overline{T} $$
journal, April 2018

TT¯$$ T\overline{T} $$ deformation of correlation functions
journal, December 2019

A pedagogical review on solvable irrelevant deformations of 2D quantum field theory
journal, March 2021

The correlation function of (1, 1) and (2, 2) supersymmetric theories with $$ T\overline{T} $$ deformation
journal, April 2020

A solvable irrelevant deformation of AdS3/CFT2
journal, December 2017

Scattering and thermodynamics in integrable N = 2 theories
journal, August 1992

Deriving boundary S matrices
journal, October 1994

Fundamental strings, holography and nonlinear superconformal algebras
journal, November 2007

$$ T\overline{T} $$-deformation of q-Yang-Mills theory
journal, November 2020

T T ¯ deformations with N = ( 0 , 2 ) supersymmetry
journal, August 2019

On space of integrable quantum field theories
journal, February 2017

Reflection matrices for integrable N = 1 supersymmetric theories
journal, March 1997

Supersymmetry and T T ¯ $$ T\overline{T} $$ deformations
journal, April 2019

Anomaly cancellation and self-dual lattices
journal, December 1986

Geometrizing $$ T\overline{T} $$
journal, March 2021

Thermodynamic Bethe ansatz for RSOS scattering theories
journal, July 1991

Expectation value of $$ \mathrm{T}\overline{\mathrm{T}} $$ operator in curved spacetimes
journal, February 2020

Cutoff AdS3 versus the T T ¯ $$ T\overline{T} $$ deformation
journal, July 2018

Integrability and renormalization under $T \bar{T}$
journal, September 2020

Non-linear supersymmetry and TT¯$$ T\overline{T} $$-like flows
journal, February 2020

Supersymmetric extension of the sine-Gordon theory with integrable boundary interactions
journal, October 1995

Exact N = 2 Landau-Ginzburg flows
journal, February 1994

Thermodynamic Bethe ansatz in relativistic models: Scaling 3-state potts and Lee-Yang models
journal, October 1990

$T \bar{T}$ flows and (2, 2) supersymmetry
journal, January 2020

A path integral realization of joint $$ J\overline{T} $$, $$ T\overline{J} $$ and $$ T\overline{T} $$ flows
journal, July 2020

Elliptic genera and quantum field theory
journal, December 1987

An integrable Lorentz-breaking deformation of two-dimensional CFTs
journal, January 2018

Purely elastic scattering theories and their ultraviolet limits
journal, July 1990

Supersymmetric J $$ \overline{T} $$ and T $$ \overline{J} $$ deformations
journal, May 2020

Hybrid-NLIE for the AdS/CFT spectral problem
journal, August 2012

A non-abelian analogue of DBI from $T \overline{T}$
journal, January 2020

$T \bar{T}$ deformation of the compactified boson and its interpretation in lattice gauge theory
journal, July 2020

T T ¯ $$ T\overline{T} $$ deformed partition functions
journal, August 2018

Anomalies, characters and strings
journal, January 1987

Correlation functions, entanglement and chaos in the $$ T\overline{T}/J\overline{T} $$-deformed CFTs
journal, February 2020

$$ T\overline{T} $$-deformed actions and (1,1) supersymmetry
journal, October 2019

Two-dimensional SCFTs from wrapped branes and c-extremization
journal, June 2013

Integrable deformations and scattering matrices for the N = 2 supersymmetric discrete series
journal, June 1990

Large N phase transition in T T ¯ $$ T\overline{T} $$ -deformed 2d Yang-Mills theory on the sphere
journal, January 2019

Central charges without finite-size effects
journal, December 1993

Nonlinear integral equations for the finite size effects of RSOS and vertex-models and related quantum field theories
journal, January 2006

Structure of N= 2 superconformally invariant unitary ‘‘minimal’’ theories: Operator algebra and correlation functions
journal, November 1987

Topological sigma models
journal, September 1988

Hybrid NLIE for the mirror AdS ₅ × S ⁵
journal, May 2011

On T T ¯ $$ T\overline{T} $$ deformations and supersymmetry
journal, June 2019