Theta, time reversal and temperature
Abstract
SU(N) gauge theory is time reversal invariant at θ = 0 and θ = π. We show that at θ = π there is a discrete ’t Hooft anomaly involving time reversal and the center symmetry. This anomaly leads to constraints on the vacua of the theory. It follows that at θ = π the vacuum cannot be a trivial non-degenerate gapped state. (By contrast, the vacuum at θ = 0 is gapped, non-degenerate, and trivial.) Due to the anomaly, the theory admits nontrivial domain walls supporting lower-dimensional theories. Depending on the nature of the vacuum at θ = π, several phase diagrams are possible. Assuming area law for space-like loops, one arrives at an inequality involving the temperatures at which CP and the center symmetry are restored. We also analyze alternative scenarios for SU(2) gauge theory. The underlying symmetry at θ = π is the dihedral group of 8 elements. If deconfined loops are allowed, one can have two O(2)-symmetric fixed points. In conclusion, it may also be that the four-dimensional theory around θ = π is gapless, e.g. a Coulomb phase could match the underlying anomalies.
- Authors:
-
- Perimeter Institute for Theoretical Physics, Waterloo, ON (Canada)
- California Inst. of Technology (CalTech), Pasadena, CA (United States)
- Weizmann Institute of Science, Rehovot (Israel)
- Institute for Advanced Study, Princeton, NJ (United States)
- Publication Date:
- Research Org.:
- California Institute of Technology (CalTech), Pasadena, CA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), High Energy Physics (HEP)
- OSTI Identifier:
- 1389778
- Grant/Contract Number:
- SC0011632; SC0009988
- Resource Type:
- Journal Article: Accepted Manuscript
- Journal Name:
- Journal of High Energy Physics (Online)
- Additional Journal Information:
- Journal Volume: 2017; Journal Issue: 5; Journal ID: ISSN 1029-8479
- Publisher:
- Springer Berlin
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Anomalies in Field and String Theories; Confinement; Spontaneous Symmetry Breaking; Wilson; ’t Hooft and Polyakov loops
Citation Formats
Gaiotto, Davide, Kapustin, Anton, Komargodski, Zohar, and Seiberg, Nathan. Theta, time reversal and temperature. United States: N. p., 2017.
Web. doi:10.1007/JHEP05(2017)091.
Gaiotto, Davide, Kapustin, Anton, Komargodski, Zohar, & Seiberg, Nathan. Theta, time reversal and temperature. United States. https://doi.org/10.1007/JHEP05(2017)091
Gaiotto, Davide, Kapustin, Anton, Komargodski, Zohar, and Seiberg, Nathan. Wed .
"Theta, time reversal and temperature". United States. https://doi.org/10.1007/JHEP05(2017)091. https://www.osti.gov/servlets/purl/1389778.
@article{osti_1389778,
title = {Theta, time reversal and temperature},
author = {Gaiotto, Davide and Kapustin, Anton and Komargodski, Zohar and Seiberg, Nathan},
abstractNote = {SU(N) gauge theory is time reversal invariant at θ = 0 and θ = π. We show that at θ = π there is a discrete ’t Hooft anomaly involving time reversal and the center symmetry. This anomaly leads to constraints on the vacua of the theory. It follows that at θ = π the vacuum cannot be a trivial non-degenerate gapped state. (By contrast, the vacuum at θ = 0 is gapped, non-degenerate, and trivial.) Due to the anomaly, the theory admits nontrivial domain walls supporting lower-dimensional theories. Depending on the nature of the vacuum at θ = π, several phase diagrams are possible. Assuming area law for space-like loops, one arrives at an inequality involving the temperatures at which CP and the center symmetry are restored. We also analyze alternative scenarios for SU(2) gauge theory. The underlying symmetry at θ = π is the dihedral group of 8 elements. If deconfined loops are allowed, one can have two O(2)-symmetric fixed points. In conclusion, it may also be that the four-dimensional theory around θ = π is gapless, e.g. a Coulomb phase could match the underlying anomalies.},
doi = {10.1007/JHEP05(2017)091},
url = {https://www.osti.gov/biblio/1389778},
journal = {Journal of High Energy Physics (Online)},
issn = {1029-8479},
number = 5,
volume = 2017,
place = {United States},
year = {2017},
month = {5}
}
Web of Science
Works referenced in this record:
The effective theory of long strings
journal, May 2013
- Aharony, Ofer; Komargodski, Zohar
- Journal of High Energy Physics, Vol. 2013, Issue 5
The origin of the hidden supersymmetry
journal, August 2010
- Jakubský, Vít; Nieto, Luis-Miguel; Plyushchay, Mikhail S.
- Physics Letters B, Vol. 692, Issue 1
Theta Dependence in the Large Limit of Four-Dimensional Gauge Theories
journal, October 1998
- Witten, Edward
- Physical Review Letters, Vol. 81, Issue 14
3d dualities from 4d dualities
journal, July 2013
- Aharony, Ofer; Razamat, Shlomo S.; Seiberg, Nathan
- Journal of High Energy Physics, Vol. 2013, Issue 7
High-temperature expansion of supersymmetric partition functions
journal, July 2015
- Ardehali, Arash Arabi; Liu, James T.; Szepietowski, Phillip
- Journal of High Energy Physics, Vol. 2015, Issue 7
Constraints on fluid dynamics from equilibrium partition functions
journal, September 2012
- Banerjee, Nabamita; Bhattacharya, Jyotirmoy; Bhattacharyya, Sayantani
- Journal of High Energy Physics, Vol. 2012, Issue 9
Effective string theory revisited
journal, September 2012
- Dubovsky, Sergei; Flauger, Raphael; Gorbenko, Victor
- Journal of High Energy Physics, Vol. 2012, Issue 9
Anomalies and fermion zero modes on strings and domain walls
journal, January 1985
- Callan, C. G.; Harvey, J. A.
- Nuclear Physics B, Vol. 250, Issue 1-4
Anomaly cancellations in supersymmetric D = 10 gauge theory and superstring theory
journal, December 1984
- Green, Michael B.; Schwarz, John H.
- Physics Letters B, Vol. 149, Issue 1-3
Constraints on supersymmetry breaking
journal, July 1982
- Witten, Edward
- Nuclear Physics B, Vol. 202, Issue 2
Closed flux tubes and their string description in D =3+1 SU(N) gauge theories
journal, February 2011
- Athenodorou, Andreas; Bringoltz, Barak; Teper, Michael
- Journal of High Energy Physics, Vol. 2011, Issue 2
Symmetry protected topological orders and the group cohomology of their symmetry group
journal, April 2013
- Chen, Xie; Gu, Zheng-Cheng; Liu, Zheng-Xin
- Physical Review B, Vol. 87, Issue 15
Thermodynamics, gravitational anomalies and cones
journal, February 2013
- Jensen, Kristan; Loganayagam, R.; Yarom, Amos
- Journal of High Energy Physics, Vol. 2013, Issue 2
Spontaneous Violation of Symmetry in the Strong Interactions
journal, May 2004
- Creutz, Michael
- Physical Review Letters, Vol. 92, Issue 20
Confinement, soft supersymmetry breaking and θ parameter dependence in the Seiberg-Witten model
journal, January 1997
- Konishi, Kenichi
- Physics Letters B, Vol. 392, Issue 1-2
Bootstrapping the 3d Ising twist defect
journal, March 2014
- Gaiotto, Davide; Mazac, Dalimil; Paulos, Miguel F.
- Journal of High Energy Physics, Vol. 2014, Issue 3
Generalized global symmetries
journal, February 2015
- Gaiotto, Davide; Kapustin, Anton; Seiberg, Nathan
- Journal of High Energy Physics, Vol. 2015, Issue 2
Phases of Script N = 1 supersymmetric gauge theories
journal, February 2003
- Cachazo, Freddy; Seiberg, Nathan; Witten, Edward
- Journal of High Energy Physics, Vol. 2003, Issue 02
Symmetry aspects of finite-temperature confinement transitions
journal, February 1986
- Svetitsky, Benjamin
- Physics Reports, Vol. 132, Issue 1
Nonlinear σ model at θ=π: Euclidean lattice formulation and solid-on-solid models
journal, May 1991
- Affleck, Ian
- Physical Review Letters, Vol. 66, Issue 19
Fermion path integrals and topological phases
journal, July 2016
- Witten, Edward
- Reviews of Modern Physics, Vol. 88, Issue 3
Current algebra theorems for the U(1) “Goldstone boson”
journal, September 1979
- Witten, E.
- Nuclear Physics B, Vol. 156, Issue 2
Critical theory of quantum spin chains
journal, October 1987
- Affleck, Ian; Haldane, F. D. M.
- Physical Review B, Vol. 36, Issue 10
Universal mechanism of (semi-classical) deconfinement and θ-dependence for all simple groups
journal, March 2013
- Poppitz, Erich; Schäfer, Thomas; Ünsal, Mithat
- Journal of High Energy Physics, Vol. 2013, Issue 3
Lectures on supersymmetric gauge theories and electric-magnetic duality
journal, February 1996
- Intriligator, K.; Seiberg, N.
- Nuclear Physics B - Proceedings Supplements, Vol. 45, Issue 2-3
Comments on Chern-Simons contact terms in three dimensions
journal, September 2012
- Closset, Cyril; Dumitrescu, Thomas T.; Festuccia, Guido
- Journal of High Energy Physics, Vol. 2012, Issue 9
Coupling a QFT to a TQFT and duality
journal, April 2014
- Kapustin, Anton; Seiberg, Nathan
- Journal of High Energy Physics, Vol. 2014, Issue 4
Anomalous Discrete Symmetries in Three Dimensions and Group Cohomology
journal, June 2014
- Kapustin, Anton; Thorngren, Ryan
- Physical Review Letters, Vol. 112, Issue 23
Gauge Noninvariance and Parity Nonconservation of Three-Dimensional Fermions
journal, January 1984
- Redlich, A. N.
- Physical Review Letters, Vol. 52, Issue 1
Electric-magnetic duality, monopole condensation, and confinement in N=2 supersymmetric Yang-Mills theory
journal, September 1994
- Seiberg, N.; Witten, E.
- Nuclear Physics B, Vol. 426, Issue 1
Topological gauge theories and group cohomology
journal, April 1990
- Dijkgraaf, Robbert; Witten, Edward
- Communications in Mathematical Physics, Vol. 129, Issue 2
Reading between the lines of four-dimensional gauge theories
journal, August 2013
- Aharony, Ofer; Seiberg, Nathan; Tachikawa, Yuji
- Journal of High Energy Physics, Vol. 2013, Issue 8
Cardy formulae for SUSY theories in d = 4 and d = 6
journal, December 2014
- Di Pietro, Lorenzo; Komargodski, Zohar
- Journal of High Energy Physics, Vol. 2014, Issue 12
Determination of an Operator Algebra for the Two-Dimensional Ising Model
journal, June 1971
- Kadanoff, Leo P.; Ceva, Horacio
- Physical Review B, Vol. 3, Issue 11
A expandable series of non-linear σ models with instantons
journal, December 1978
- D'Adda, A.; Lüscher, M.; Di Vecchia, P.
- Nuclear Physics B, Vol. 146, Issue 1
Categorical Morita Equivalence for Group-Theoretical Categories
journal, October 2007
- Naidu, Deepak
- Communications in Algebra, Vol. 35, Issue 11
Monopoles, duality and chiral symmetry breaking in N = 2 supersymmetric QCD
journal, December 1994
- Seiberg, N.; Witten, E.
- Nuclear Physics B, Vol. 431, Issue 3
More about the massive Schwinger model
journal, September 1976
- Coleman, Sidney
- Annals of Physics, Vol. 101, Issue 1
One-loop Chern-Simons terms in five dimensions
journal, July 2013
- Bonetti, Federico; Grimm, Thomas W.; Hohenegger, Stefan
- Journal of High Energy Physics, Vol. 2013, Issue 7
Critical behavior at finite-temperature confinement transitions
journal, December 1982
- Svetitsky, Benjamin; Yaffe, Laurence G.
- Nuclear Physics B, Vol. 210, Issue 4
Instatons, the quark model, and the 1/N expansion
journal, March 1979
- Witten, Edward
- Nuclear Physics B, Vol. 149, Issue 2
Comments on global symmetries, anomalies, and duality in (2 + 1)d
journal, April 2017
- Benini, Francesco; Hsin, Po-Shen; Seiberg, Nathan
- Journal of High Energy Physics, Vol. 2017, Issue 4
QCD and instantons at finite temperature
journal, January 1981
- Gross, David J.; Pisarski, Robert D.; Yaffe, Laurence G.
- Reviews of Modern Physics, Vol. 53, Issue 1
Line defects in the 3d Ising model
journal, July 2013
- Billó, M.; Caselle, M.; Gaiotto, D.
- Journal of High Energy Physics, Vol. 2013, Issue 7
Level/rank duality and Chern-Simons-matter theories
journal, September 2016
- Hsin, Po-Shen; Seiberg, Nathan
- Journal of High Energy Physics, Vol. 2016, Issue 9
Effective string theory simplified
journal, September 2014
- Hellerman, Simeon; Maeda, Shunsuke; Maltz, Jonathan
- Journal of High Energy Physics, Vol. 2014, Issue 9
The θ = π nonlinear sigma model is massless
journal, June 1990
- Shankar, R.; Read, N.
- Nuclear Physics B, Vol. 336, Issue 3
A property of electric and magnetic flux in non-Abelian gauge theories
journal, January 1979
- 't Hooft, G.
- Nuclear Physics B, Vol. 153
Gravitational Anomaly and Transport Phenomena
journal, July 2011
- Landsteiner, Karl; Megías, Eugenio; Pena-Benitez, Francisco
- Physical Review Letters, Vol. 107, Issue 2
Hidden supersymmetry in quantum bosonic systems
journal, October 2007
- Correa, Francisco; Plyushchay, Mikhail S.
- Annals of Physics, Vol. 322, Issue 10
Works referencing / citing this record:
Anomaly-Induced Transport Phenomena from Imaginary-Time Formalism
journal, May 2019
- Hongo, Masaru; Hidaka, Yoshimasa
- Particles, Vol. 2, Issue 2
Gauge enhanced quantum criticality and time reversal deconfined domain wall: SU(2) Yang-Mills dynamics with topological terms
journal, February 2020
- Wang, Juven; You, Yi-Zhuang; Zheng, Yunqin
- Physical Review Research, Vol. 2, Issue 1
Anomaly-Induced Transport Phenomena from Imaginary-Time Formalism
journal, May 2019
- Hongo, Masaru; Hidaka, Yoshimasa
- Particles, Vol. 2, Issue 2
A symmetry breaking scenario for QCD3
journal, January 2018
- Komargodski, Zohar; Seiberg, Nathan
- Journal of High Energy Physics, Vol. 2018, Issue 1
Phase structure of the twisted SU(3)/U(1)2 flag sigma model on ℝ × S1
journal, February 2019
- Hongo, Masaru; Misumi, Tatsuhiro; Tanizaki, Yuya
- Journal of High Energy Physics, Vol. 2019, Issue 2
Vacuum structure of charge k two-dimensional QED and dynamics of an anti D-string near an O1−-plane
journal, March 2019
- Armoni, Adi; Sugimoto, Shigeki
- Journal of High Energy Physics, Vol. 2019, Issue 3
Dynamics of QCD3 with rank-two quarks and duality
journal, March 2020
- Choi, Changha; Delmastro, Diego; Gomis, Jaume
- Journal of High Energy Physics, Vol. 2020, Issue 3
Phase diagram of q-deformed Yang-Mills theory on S2 at non-zero θ-angle
journal, April 2018
- Okuyama, Kazumi
- Journal of High Energy Physics, Vol. 2018, Issue 4
Anomaly matching in QCD thermal phase transition
journal, May 2019
- Yonekura, Kazuya
- Journal of High Energy Physics, Vol. 2019, Issue 5
On 2-form gauge models of topological phases
journal, May 2019
- Delcamp, Clement; Tiwari, Apoorv
- Journal of High Energy Physics, Vol. 2019, Issue 5
The bi-fundamental gauge theory in 3+1 dimensions: the vacuum structure and a cascade
journal, May 2019
- Karasik, Avner; Komargodski, Zohar
- Journal of High Energy Physics, Vol. 2019, Issue 5
Domain walls in high-T SU(N) super Yang-Mills theory and QCD(adj)
journal, May 2019
- Anber, Mohamed M.; Poppitz, Erich
- Journal of High Energy Physics, Vol. 2019, Issue 5
Vacuum structure of bifundamental gauge theories at finite topological angles
journal, June 2017
- Tanizaki, Yuya; Kikuchi, Yuta
- Journal of High Energy Physics, Vol. 2017, Issue 6
High-temperature domain walls of QCD with imaginary chemical potentials
journal, June 2019
- Nishimura, Hiromichi; Tanizaki, Yuya
- Journal of High Energy Physics, Vol. 2019, Issue 6
Aspects of the QCD θ-vacuum
journal, June 2019
- Vonk, Thomas; Guo, Feng-Kun; Meißner, Ulf-G.
- Journal of High Energy Physics, Vol. 2019, Issue 6
From 4d Yang-Mills to 2d ℂℙN − 1 model: IR problem and confinement at weak coupling
journal, July 2017
- Yamazaki, Masahito; Yonekura, Kazuya
- Journal of High Energy Physics, Vol. 2017, Issue 7
Curious aspects of three-dimensional N = 1 $$ \mathcal{N}=1 $$ SCFTs
journal, August 2018
- Gaiotto, Davide; Komargodski, Zohar; Wu, Jingxiang
- Journal of High Energy Physics, Vol. 2018, Issue 8
Quantum distillation of Hilbert spaces, semi-classics and anomaly matching
journal, August 2018
- Dunne, Gerald V.; Tanizaki, Yuya; Ünsal, Mithat
- Journal of High Energy Physics, Vol. 2018, Issue 8
Dai-Freed anomalies in particle physics
journal, August 2019
- García-Etxebarria, Iñaki; Montero, Miguel
- Journal of High Energy Physics, Vol. 2019, Issue 8
Charting the phase diagram of QCD3
journal, August 2019
- Argurio, Riccardo; Bertolini, Matteo; Mignosa, Francesco
- Journal of High Energy Physics, Vol. 2019, Issue 8
Novel 3d bosonic dualities from bosonization and holography
journal, September 2018
- Aitken, Kyle; Baumgartner, Andrew; Karch, Andreas
- Journal of High Energy Physics, Vol. 2018, Issue 9
Vacuum structure of Yang-Mills theory as a function of θ
journal, September 2018
- Aitken, Kyle; Cherman, Aleksey; Ünsal, Mithat
- Journal of High Energy Physics, Vol. 2018, Issue 9
Anomaly matching, (axial) Schwinger models, and high-T super Yang-Mills domain walls
journal, September 2018
- Anber, Mohamed M.; Poppitz, Erich
- Journal of High Energy Physics, Vol. 2018, Issue 9
QCD domain walls, Chern-Simons theories and holography
journal, September 2018
- Argurio, Riccardo; Bertolini, Matteo; Bigazzi, Francesco
- Journal of High Energy Physics, Vol. 2018, Issue 9
Relating ’t Hooft anomalies of 4d pure Yang-Mills and 2d ℂℙN− 1 model
journal, October 2018
- Yamazaki, Masahito
- Journal of High Energy Physics, Vol. 2018, Issue 10
Self-conjugate QCD
journal, October 2019
- Anber, Mohamed M.
- Journal of High Energy Physics, Vol. 2019, Issue 10
On the baryon-color-flavor (BCF) anomaly in vector-like theories
journal, November 2019
- Anber, Mohamed M.; Poppitz, Erich
- Journal of High Energy Physics, Vol. 2019, Issue 11
An exact quantization of Jackiw-Teitelboim gravity
journal, November 2019
- Iliesiu, Luca V.; Pufu, Silviu S.; Verlinde, Herman
- Journal of High Energy Physics, Vol. 2019, Issue 11
Circle compactification and ’t Hooft anomaly
journal, December 2017
- Tanizaki, Yuya; Misumi, Tatsuhiro; Sakai, Norisuke
- Journal of High Energy Physics, Vol. 2017, Issue 12
Domain walls and deconfinement: a semiclassical picture of discrete anomaly inflow
journal, December 2019
- Cox, Andrew A.; Poppitz, Erich; Wong, Samuel S. Y.
- Journal of High Energy Physics, Vol. 2019, Issue 12
Large-N ℂℙN −1 sigma model on a Euclidean torus: uniqueness and stability of the vacuum
journal, December 2019
- Bolognesi, Stefano; Gudnason, Sven Bjarke; Konishi, Kenichi
- Journal of High Energy Physics, Vol. 2019, Issue 12
Walls, anomalies, and deconfinement in quantum antiferromagnets
journal, February 2018
- Komargodski, Zohar; Sulejmanpasic, Tin; Ünsal, Mithat
- Physical Review B, Vol. 97, Issue 5
anomaly matching in bosonic quantum field theory and spin chains
journal, April 2018
- Sulejmanpasic, Tin; Tanizaki, Yuya
- Physical Review B, Vol. 97, Issue 14
Intrinsic and emergent anomalies at deconfined critical points
journal, August 2018
- Metlitski, Max A.; Thorngren, Ryan
- Physical Review B, Vol. 98, Issue 8
Anomaly and global inconsistency matching: angles, nonlinear sigma model, chains, and generalizations
journal, September 2018
- Tanizaki, Yuya; Sulejmanpasic, Tin
- Physical Review B, Vol. 98, Issue 11
Study of center and chiral symmetry realization in thermal super Yang-Mills theory using the gradient flow
journal, October 2019
- Bergner, Georg; López, Camilo; Piemonte, Stefano
- Physical Review D, Vol. 100, Issue 7
Dihedral symmetry in Yang-Mills theory
journal, October 2019
- Aitken, Kyle; Cherman, Aleksey; Ünsal, Mithat
- Physical Review D, Vol. 100, Issue 8
Quantum 4d Yang-Mills theory and time-reversal symmetric 5d higher-gauge topological field theory
journal, October 2019
- Wan, Zheyan; Wang, Juven; Zheng, Yunqin
- Physical Review D, Vol. 100, Issue 8
Oblique confinement at in weakly coupled gauge theories with deformations
journal, October 2017
- Anber, Mohamed M.; Zhitnitsky, Ariel R.
- Physical Review D, Vol. 96, Issue 7
Anomaly matching for the phase diagram of massless -QCD
journal, March 2018
- Tanizaki, Yuya; Kikuchi, Yuta; Misumi, Tatsuhiro
- Physical Review D, Vol. 97, Issue 5
Anomaly constraints on deconfinement and chiral phase transition
journal, May 2018
- Shimizu, Hiroyuki; Yonekura, Kazuya
- Physical Review D, Vol. 97, Issue 10
Two-flavor adjoint QCD
journal, August 2018
- Anber, Mohamed M.; Poppitz, Erich
- Physical Review D, Vol. 98, Issue 3
Anomaly Matching and Symmetry-Protected Critical Phases in Spin Systems in Dimensions
journal, October 2019
- Yao, Yuan; Hsieh, Chang-Tse; Oshikawa, Masaki
- Physical Review Letters, Vol. 123, Issue 18
Adventure in Topological Phase Transitions in -D: Non-Abelian Deconfined Quantum Criticalities and a Possible Duality
journal, May 2019
- Bi, Zhen; Senthil, T.
- Physical Review X, Vol. 9, Issue 2
Supersymmetric tools in Yang–Mills theories at strong coupling: The beginning of a long journey
journal, April 2018
- Shifman, Mikhail
- International Journal of Modern Physics A, Vol. 33, Issue 12
Generalized global symmetries and holography
journal, January 2018
- Hofman, Diego; Iqbal, Nabil
- SciPost Physics, Vol. 4, Issue 1
Global Symmetries, Counterterms, and Duality in Chern-Simons Matter Theories with Orthogonal Gauge Groups
journal, January 2018
- Cordova, Clay; Hsin, Po-Shen; Seiberg, Nathan
- SciPost Physics, Vol. 4, Issue 4
Time-reversal symmetry, anomalies, and dualities in (2+1)$d$
journal, January 2018
- Cordova, Clay; Hsin, Po-Shen; Seiberg, Nathan
- SciPost Physics, Vol. 5, Issue 1
Phases Of Adjoint QCD$_3$ And Dualities
journal, January 2018
- Gomis, Jaume; Komargodski, Zohar; Seiberg, Nathan
- SciPost Physics, Vol. 5, Issue 1
Parity and the modular bootstrap
journal, January 2018
- Anous, Tarek; Mahajan, Raghu; Shaghoulian, Edgar
- SciPost Physics, Vol. 5, Issue 3
Comments on abelian Higgs models and persistent order
journal, January 2019
- Komargodski, Zohar; Sharon, Adar; Thorngren, Ryan
- SciPost Physics, Vol. 6, Issue 1
Goldstone modes and photonization for higher form symmetries
journal, January 2019
- Hofman, Diego; Iqbal, Nabil
- SciPost Physics, Vol. 6, Issue 1
Sigma models on flags
journal, January 2019
- Ohmori, Kantaro; Seiberg, Nathan; Shao, Shu-Heng
- SciPost Physics, Vol. 6, Issue 2
Comments on one-form global symmetries and their gauging in 3d and 4d
journal, January 2019
- Hsin, Po-Shen; Lam, Ho Tat; Seiberg, Nathan
- SciPost Physics, Vol. 6, Issue 3
Living on the walls of super-QCD
journal, January 2019
- Bashmakov, Vladimir; Benini, Francesco; Benvenuti, Sergio
- SciPost Physics, Vol. 6, Issue 4
Anomalies in the space of coupling constants and their dynamical applications I
journal, January 2020
- Cordova, Clay; Freed, Daniel; Lam, Ho Tat
- SciPost Physics, Vol. 8, Issue 1
Anomalies in the space of coupling constants and their dynamical applications II
journal, January 2020
- Cordova, Clay; Freed, Daniel; Lam, Ho Tat
- SciPost Physics, Vol. 8, Issue 1