An infrared bootstrap of the Schur index with surface defects

Fluder, Martin; Longhi, Pietro

doi:10.1007/JHEP09(2019)062

Title: An infrared bootstrap of the Schur index with surface defects

Journal Article · 10 September 2019 · Journal of High Energy Physics (Online)

DOI: https://doi.org/10.1007/JHEP09(2019)062 · OSTI ID:1596782

Fluder, Martin ^[1];

^[2]

California Inst. of Technology (CalTech), Pasadena, CA (United States); Univ. of Tokyo (Japan)
ETH Zurich (Switzerland)

The infrared formula relates the Schur index of a 4d $$\mathcal{N}$$ = 2 theory to its wall-crossing invariant, a.k.a. BPS monodromy. A further extension of this formula, proposed by Córdova, Gaiotto and Shao, includes contributions by many types of line and surface defects. We study BPS monodromies in the presence of vortex surface defects of arbitrary vorticity for general class $$\mathcal{S}$$ theories of type A₁ engineered by UV curves with at least one regular puncture. The trace of these defect BPS monodromies is shown to coincide with the action of certain q-difference operators acting on the trace of the (pure) 4d BPS monodromy. We use these operators to develop a “bootstrap” (of traces) of BPS monodromies, relying only on their infrared properties, thereby reproducing the very general ultraviolet characterization of the Schur index.

View Accepted Manuscript (DOE)

Cite

Export

Save

Research Organization:: California Institute of Technology (CalTech), Pasadena, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP)

Grant/Contract Number:: SC0011632

OSTI ID:: 1596782

Journal Information:: Journal of High Energy Physics (Online), Vol. 2019, Issue 9; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

Citation Metrics:

Cited by: 6 works

Citation information provided by
Web of Science

References (102)

Phases of N = 2 theories in two dimensions Witten, Edward Nuclear Physics B, Vol. 403, Issue 1-2 https://doi.org/10.1016/0550-3213(93)90033-L	journal	August 1993
N = 2 dualities Gaiotto, Davide Journal of High Energy Physics, Vol. 2012, Issue 8 https://doi.org/10.1007/JHEP08(2012)034	journal	August 2012
Spectral Networks Gaiotto, Davide; Moore, Gregory W.; Neitzke, Andrew Annales Henri Poincaré, Vol. 14, Issue 7 https://doi.org/10.1007/s00023-013-0239-7	journal	March 2013
On classification ofN=2 supersymmetric theories Cecotti, Sergio; Vafa, Cumrun Communications in Mathematical Physics, Vol. 158, Issue 3 https://doi.org/10.1007/BF02096804	journal	December 1993
2d TQFT structure of the superconformal indices with outer-automorphism twists Mekareeya, Noppadol; Song, Jaewon; Tachikawa, Yuji Journal of High Energy Physics, Vol. 2013, Issue 3 https://doi.org/10.1007/JHEP03(2013)171	journal	March 2013
Self-dual strings and N = 2 supersymmetric field theory Klemm, Albrecht; Lerche, Wolfgang; Mayr, Peter Nuclear Physics B, Vol. 477, Issue 3 https://doi.org/10.1016/0550-3213(96)00353-7	journal	October 1996
Monopoles, duality and chiral symmetry breaking in N = 2 supersymmetric QCD Seiberg, N.; Witten, E. Nuclear Physics B, Vol. 431, Issue 3 https://doi.org/10.1016/0550-3213(94)90214-3	journal	December 1994
Seiberg-Witten Prepotential from Instanton Counting Nekrasov, Nikita A. Advances in Theoretical and Mathematical Physics, Vol. 7, Issue 5 https://doi.org/10.4310/ATMP.2003.v7.n5.a4	journal	January 2003
A new supersymmetric index Cecotti, Sergio; Fendley, Paul; Intriligator, Ken Nuclear Physics B, Vol. 386, Issue 2 https://doi.org/10.1016/0550-3213(92)90572-S	journal	November 1992
Jenkins–Strebel differentials with poles Liu, Jinsong Commentarii Mathematici Helvetici https://doi.org/10.4171/CMH/123	journal	January 2008
An Index for 4 Dimensional Super Conformal Theories Kinney, Justin; Maldacena, Juan; Minwalla, Shiraz Communications in Mathematical Physics, Vol. 275, Issue 1 https://doi.org/10.1007/s00220-007-0258-7	journal	June 2007
Integrable systems and supersymmetric gauge theory Martinec, Emil J.; Warner, Nicholas P. Nuclear Physics B, Vol. 459, Issue 1-2 https://doi.org/10.1016/0550-3213(95)00588-9	journal	January 1996
New phenomena in SU(3) supersymmetric gauge theory Argyres, Philip C.; Douglas, Michael R. Nuclear Physics B, Vol. 448, Issue 1-2 https://doi.org/10.1016/0550-3213(95)00281-V	journal	August 1995
Gauge Theories and Macdonald Polynomials Gadde, Abhijit; Rastelli, Leonardo; Razamat, Shlomo S. Communications in Mathematical Physics, Vol. 319, Issue 1 https://doi.org/10.1007/s00220-012-1607-8	journal	November 2012
Surface defects and instanton–vortex interaction Gorsky, A.; Le Floch, B.; Milekhin, A. Nuclear Physics B, Vol. 920 https://doi.org/10.1016/j.nuclphysb.2017.04.010	journal	July 2017
Schur indices, BPS particles, and Argyres-Douglas theories Córdova, Clay; Shao, Shu-Heng Journal of High Energy Physics, Vol. 2016, Issue 1 https://doi.org/10.1007/JHEP01(2016)040	journal	January 2016
The Self-Duality Equations on a Riemann Surface Hitchin, N. J. Proceedings of the London Mathematical Society, Vol. s3-55, Issue 1 https://doi.org/10.1112/plms/s3-55.1.59	journal	July 1987
The structure of BPS spectra Longhi, Pietro No Publisher Supplied https://doi.org/10.7282/T3FQ9ZMF	text	January 2015
On the phase transition towards permanent quark confinement 't Hooft, G. Nuclear Physics B, Vol. 138, Issue 1 https://doi.org/10.1016/0550-3213(78)90153-0	journal	June 1978
Refined, Motivic, and Quantum Dimofte, Tudor; Gukov, Sergei Letters in Mathematical Physics, Vol. 91, Issue 1 https://doi.org/10.1007/s11005-009-0357-9	journal	November 2009
Solutions of four-dimensional field theories via M-theory Witten, Edward Nuclear Physics B, Vol. 500, Issue 1-3 https://doi.org/10.1016/S0550-3213(97)00416-1	journal	September 1997
Spectral Networks with Spin Galakhov, Dmitry; Longhi, Pietro; Moore, Gregory W. Communications in Mathematical Physics, Vol. 340, Issue 1 https://doi.org/10.1007/s00220-015-2455-0	journal	August 2015
Geometry and integrability of topological-antitopological fusion Dubrovin, B. Communications in Mathematical Physics, Vol. 152, Issue 3 https://doi.org/10.1007/BF02096618	journal	March 1993
Branes and N = 2 theories in two dimensions Hanany, Amihay; Hori, Kentaro Nuclear Physics B, Vol. 513, Issue 1-2 https://doi.org/10.1016/S0550-3213(97)00754-2	journal	March 1998
Tinkertoys for Gaiotto duality Chacaltana, Oscar; Distler, Jacques Journal of High Energy Physics, Vol. 2010, Issue 11 https://doi.org/10.1007/JHEP11(2010)099	journal	November 2010
BPS graphs: from spectral networks to BPS quivers Gabella, Maxime; Longhi, Pietro; Park, Chan Y. Journal of High Energy Physics, Vol. 2017, Issue 7 https://doi.org/10.1007/JHEP07(2017)032	journal	July 2017
S-duality and 2d topological QFT Gadde, Abhijit; Pomoni, Elli; Rastelli, Leonardo Journal of High Energy Physics, Vol. 2010, Issue 3 https://doi.org/10.1007/JHEP03(2010)032	journal	March 2010
ADE spectral networks Longhi, Pietro; Park, Chan Y. Journal of High Energy Physics, Vol. 2016, Issue 8 https://doi.org/10.1007/JHEP08(2016)087	journal	August 2016
Supersymmetric Yang-Mills theory and integrable systems Donagi, Ron; Witten, Edward Nuclear Physics B, Vol. 460, Issue 2 https://doi.org/10.1016/0550-3213(95)00609-5	journal	February 1996
New = 2 superconformal field theories in four dimensions Argyres, Philip C.; Ronen Plesser, M.; Seiberg, Nathan Nuclear Physics B, Vol. 461, Issue 1-2 https://doi.org/10.1016/0550-3213(95)00671-0	journal	February 1996
Ising model andN=2 supersymmetric theories Cecotti, Sergio; Vafa, Cumrun Communications in Mathematical Physics, Vol. 157, Issue 1 https://doi.org/10.1007/BF02098023	journal	October 1993
5D SYM on 3D sphere and 2D YM Kawano, Teruhiko; Matsumiya, Nariaki Physics Letters B, Vol. 716, Issue 3-5 https://doi.org/10.1016/j.physletb.2012.08.055	journal	October 2012
Topological—anti-topological fusion Cecotti, Sergio; Vafa, Cumrun Nuclear Physics B, Vol. 367, Issue 2 https://doi.org/10.1016/0550-3213(91)90021-O	journal	December 1991
Framed BPS states Gaiotto, Davide; Moore, Gregory W.; Neitzke, Andrew Advances in Theoretical and Mathematical Physics, Vol. 17, Issue 2 https://doi.org/10.4310/ATMP.2013.v17.n2.a1	journal	January 2013
Rigid Surface Operators Gukov, Sergei; Witten, Edward Advances in Theoretical and Mathematical Physics, Vol. 14, Issue 1 https://doi.org/10.4310/ATMP.2010.v14.n1.a3	journal	January 2010
General Argyres-Douglas theory Xie, Dan Journal of High Energy Physics, Vol. 2013, Issue 1 https://doi.org/10.1007/JHEP01(2013)100	journal	January 2013
Electric-magnetic duality, monopole condensation, and confinement in N=2 supersymmetric Yang-Mills theory Seiberg, N.; Witten, E. Nuclear Physics B, Vol. 426, Issue 1 https://doi.org/10.1016/0550-3213(94)90124-4	journal	September 1994
Liouville Correlation Functions from Four-Dimensional Gauge Theories Alday, Luis F.; Gaiotto, Davide; Tachikawa, Yuji Letters in Mathematical Physics, Vol. 91, Issue 2 https://doi.org/10.1007/s11005-010-0369-5	journal	January 2010
Seiberg-Witten Theory and Random Partitions Nekrasov, Nikita A.; Okounkov, Andrei Progress in Mathematics https://doi.org/10.1007/0-8176-4467-9_15	book	January 2007
Localization of Gauge Theory on a Four-Sphere and Supersymmetric Wilson Loops Pestun, Vasily Communications in Mathematical Physics, Vol. 313, Issue 1 https://doi.org/10.1007/s00220-012-1485-0	journal	May 2012
Loop operators and S-duality from curves on Riemann surfaces Drukker, Nadav; Morrison, David R.; Okuda, Takuya Journal of High Energy Physics, Vol. 2009, Issue 09 https://doi.org/10.1088/1126-6708/2009/09/031	journal	September 2009
Loop and surface operators in $ \mathcal{N} = 2 $ gauge theory and Liouville modular geometry Alday, Luis F.; Gaiotto, Davide; Gukov, Sergei Journal of High Energy Physics, Vol. 2010, Issue 1 https://doi.org/10.1007/JHEP01(2010)113	journal	January 2010
Gauge theory loop operators and Liouville theory Drukker, Nadav; Gomis, Jaume; Okuda, Takuya Journal of High Energy Physics, Vol. 2010, Issue 2 https://doi.org/10.1007/JHEP02(2010)057	journal	February 2010
Surface operators in $ \mathcal{N} $ = 2 4d gauge theories Gaiotto, Davide Journal of High Energy Physics, Vol. 2012, Issue 11 https://doi.org/10.1007/JHEP11(2012)090	journal	November 2012
NILPOTENT ORBITS AND CODIMENSION-2 DEFECTS OF 6d${\mathcal N} = (2, 0)$ THEORIES Chacaltana, Oscar; Distler, Jacques; Tachikawa, Yuji International Journal of Modern Physics A, Vol. 28, Issue 03n04 https://doi.org/10.1142/S0217751X1340006X	journal	February 2013
Four Dimensional Superconformal Index from q -Deformed Two Dimensional Yang-Mills Theory Gadde, Abhijit; Rastelli, Leonardo; Razamat, Shlomo S. Physical Review Letters, Vol. 106, Issue 24 https://doi.org/10.1103/PhysRevLett.106.241602	journal	June 2011
Counting chiral primaries in , superconformal field theories Römelsberger, Christian Nuclear Physics B, Vol. 747, Issue 3 https://doi.org/10.1016/j.nuclphysb.2006.03.037	journal	July 2006
Wall Crossing Invariants from Spectral Networks Longhi, Pietro Annales Henri Poincaré, Vol. 19, Issue 3 https://doi.org/10.1007/s00023-017-0635-5	journal	December 2017
Four-Dimensional Wall-Crossing via Three-Dimensional Field Theory Gaiotto, Davide; Moore, Gregory W.; Neitzke, Andrew Communications in Mathematical Physics, Vol. 299, Issue 1 https://doi.org/10.1007/s00220-010-1071-2	journal	July 2010
Quantum Wall Crossing in $${{\mathcal N}=2}$$ Gauge Theories Dimofte, Tudor; Gukov, Sergei; Soibelman, Yan Letters in Mathematical Physics, Vol. 95, Issue 1 https://doi.org/10.1007/s11005-010-0437-x	journal	October 2010
Bootstrapping the superconformal index with surface defects Gaiotto, Davide; Rastelli, Leonardo; Razamat, Shlomo S. Journal of High Energy Physics, Vol. 2013, Issue 1 https://doi.org/10.1007/JHEP01(2013)022	journal	January 2013
Surface defects, the superconformal index and q-deformed Yang-Mills Alday, Luis F.; Bullimore, Mathew; Fluder, Martin Journal of High Energy Physics, Vol. 2013, Issue 10 https://doi.org/10.1007/JHEP10(2013)018	journal	October 2013
Infrared computations of defect Schur indices Córdova, Clay; Gaiotto, Davide; Shao, Shu-Heng Journal of High Energy Physics, Vol. 2016, Issue 11 https://doi.org/10.1007/JHEP11(2016)106	journal	November 2016
Surface defect indices and 2d-4d BPS states Córdova, Clay; Gaiotto, Davide; Shao, Shu-Heng Journal of High Energy Physics, Vol. 2017, Issue 12 https://doi.org/10.1007/JHEP12(2017)078	journal	December 2017
Surface defects and chiral algebras Córdova, Clay; Gaiotto, Davide; Shao, Shu-Heng Journal of High Energy Physics, Vol. 2017, Issue 5 https://doi.org/10.1007/JHEP05(2017)140	journal	May 2017
Spectral Networks and Fenchel–Nielsen Coordinates Hollands, Lotte; Neitzke, Andrew Letters in Mathematical Physics, Vol. 106, Issue 6 https://doi.org/10.1007/s11005-016-0842-x	journal	May 2016
2d SCFTs from M2-branes Hori, Kentaro; Park, Chan Y.; Tachikawa, Yuji Journal of High Energy Physics, Vol. 2013, Issue 11 https://doi.org/10.1007/JHEP11(2013)147	journal	November 2013
Orbifold Schur index and IR formula Imamura, Yosuke Progress of Theoretical and Experimental Physics, Vol. 2018, Issue 4 https://doi.org/10.1093/ptep/pty025	journal	April 2018
Line defects, tropicalization, and multi-centered quiver quantum mechanics Córdova, Clay; Neitzke, Andrew Journal of High Energy Physics, Vol. 2014, Issue 9 https://doi.org/10.1007/JHEP09(2014)099	journal	September 2014
Geometric engineering of (framed) BPS states Chuang, Wu-Yen; Diaconescu, Duiliu-Emanuel; Manschot, Jan Advances in Theoretical and Mathematical Physics, Vol. 18, Issue 5 https://doi.org/10.4310/ATMP.2014.v18.n5.a3	journal	January 2014
About the Absence of Exotics and the Coulomb Branch Formula Del Zotto, Michele; Sen, Ashoke Communications in Mathematical Physics, Vol. 357, Issue 3 https://doi.org/10.1007/s00220-017-3041-4	journal	November 2017
BPS Quivers and Spectra of Complete $${\mathcal{N} = 2}$$ N = 2 Quantum Field Theories Alim, Murad; Cecotti, Sergio; Córdova, Clay Communications in Mathematical Physics, Vol. 323, Issue 3 https://doi.org/10.1007/s00220-013-1789-8	journal	August 2013
$\mathcal{N} = 2$ quantum field theories and their BPS quivers Alim, Murad; Cecotti, Sergio; Córdova, Clay Advances in Theoretical and Mathematical Physics, Vol. 18, Issue 1 https://doi.org/10.4310/ATMP.2014.v18.n1.a2	journal	January 2014
Wilson-’t Hooft operators in four-dimensional gauge theories and S -duality Kapustin, Anton Physical Review D, Vol. 74, Issue 2 https://doi.org/10.1103/PhysRevD.74.025005	journal	July 2006
Reading between the lines of four-dimensional gauge theories Aharony, Ofer; Seiberg, Nathan; Tachikawa, Yuji Journal of High Energy Physics, Vol. 2013, Issue 8 https://doi.org/10.1007/JHEP08(2013)115	journal	August 2013
Surface operators and separation of variables Frenkel, Edward; Gukov, Sergei; Teschner, Jörg Journal of High Energy Physics, Vol. 2016, Issue 1 https://doi.org/10.1007/JHEP01(2016)179	journal	January 2016
Exact WKB analysis and cluster algebras Iwaki, Kohei; Nakanishi, Tomoki Journal of Physics A: Mathematical and Theoretical, Vol. 47, Issue 47 https://doi.org/10.1088/1751-8113/47/47/474009	journal	November 2014
The superconformal index and an elliptic algebra of surface defects Bullimore, Mathew; Fluder, Martin; Hollands, Lotte Journal of High Energy Physics, Vol. 2014, Issue 10 https://doi.org/10.1007/JHEP10(2014)062	journal	October 2014
The BPS spectra of two-dimensional supersymmetric gauge theories with twisted mass terms Dorey, Nick Journal of High Energy Physics, Vol. 1998, Issue 11 https://doi.org/10.1088/1126-6708/1998/11/005	journal	November 1998
Wild quiver gauge theories Bonelli, Giulio; Maruyoshi, Kazunobu; Tanzini, Alessandro Journal of High Energy Physics, Vol. 2012, Issue 2 https://doi.org/10.1007/JHEP02(2012)031	journal	February 2012
Classification of Argyres-Douglas theories from M5 branes Wang, Yifan; Xie, Dan Physical Review D, Vol. 94, Issue 6 https://doi.org/10.1103/PhysRevD.94.065012	journal	September 2016
Central charges and RG flow of strongly-coupled $ \mathcal{N}=2 $ theory Xie, Dan; Zhao, Peng Journal of High Energy Physics, Vol. 2013, Issue 3 https://doi.org/10.1007/JHEP03(2013)006	journal	March 2013
Infinite Chiral Symmetry in Four Dimensions Beem, Christopher; Lemos, Madalena; Liendo, Pedro Communications in Mathematical Physics, Vol. 336, Issue 3 https://doi.org/10.1007/s00220-014-2272-x	journal	January 2015
Nekrasov-Shatashvili limit of the 5D superconformal index Papageorgakis, Constantinos; Pini, Alessandro; Rodríguez-Gómez, Diego Physical Review D, Vol. 94, Issue 4 https://doi.org/10.1103/PhysRevD.94.045007	journal	August 2016
Exponential networks and representations of quivers Eager, Richard; Selmani, Sam Alexandre; Walcher, Johannes Journal of High Energy Physics, Vol. 2017, Issue 8 https://doi.org/10.1007/JHEP08(2017)063	journal	August 2017
Down the rabbit hole with theories of class S $$ \mathcal{S} $$ Razamat, Shlomo S.; Willett, Brian Journal of High Energy Physics, Vol. 2014, Issue 10 https://doi.org/10.1007/JHEP10(2014)099	journal	October 2014
Heterotic surface defects and dualities from 2d/4d indices Chen, Heng-Yu; Chen, Hsiao-Yi Journal of High Energy Physics, Vol. 2014, Issue 10 https://doi.org/10.1007/JHEP10(2014)004	journal	October 2014
N = 1 $$ \mathcal{N}=1 $$ theories of class S k $$ {\mathcal{S}}_k $$ Gaiotto, Davide; Razamat, Shlomo S. Journal of High Energy Physics, Vol. 2015, Issue 7 https://doi.org/10.1007/JHEP07(2015)073	journal	July 2015
Surface defects as transfer matrices Maruyoshi, Kazunobu; Yagi, Junya Progress of Theoretical and Experimental Physics, Vol. 2016, Issue 11 https://doi.org/10.1093/ptep/ptw151	journal	November 2016
Surface defects and elliptic quantum groups Yagi, Junya Journal of High Energy Physics, Vol. 2017, Issue 6 https://doi.org/10.1007/JHEP06(2017)013	journal	June 2017
Surface Defects in E-String Compactifications and the van Diejen Model Nazzal, Belal; Razamat, Shlomo S. Symmetry, Integrability and Geometry: Methods and Applications https://doi.org/10.3842/SIGMA.2018.036	journal	April 2018
Flavored surface defects in 4d $$\mathcal{N}=1$$ N = 1 SCFTs Razamat, Shlomo S. Letters in Mathematical Physics, Vol. 109, Issue 6 https://doi.org/10.1007/s11005-018-01145-9	journal	December 2018
5D SYM and 2D q-deformed YM Fukuda, Yasutaka; Kawano, Teruhiko; Matsumiya, Nariaki Nuclear Physics B, Vol. 869, Issue 3 https://doi.org/10.1016/j.nuclphysb.2012.12.017	journal	April 2013
A brief review of the 2d/4d correspondences Tachikawa, Yuji Journal of Physics A: Mathematical and Theoretical, Vol. 50, Issue 44 https://doi.org/10.1088/1751-8121/aa5df8	journal	October 2017
On the superconformal index of Argyres–Douglas theories Buican, Matthew; Nishinaka, Takahiro Journal of Physics A: Mathematical and Theoretical, Vol. 49, Issue 1 https://doi.org/10.1088/1751-8113/49/1/015401	journal	December 2015
Argyres-Douglas theories, the Macdonald index, and an RG inequality Buican, Matthew; Nishinaka, Takahiro Journal of High Energy Physics, Vol. 2016, Issue 2 https://doi.org/10.1007/JHEP02(2016)159	journal	February 2016
Superconformal indices of generalized Argyres-Douglas theories from 2d TQFT Song, Jaewon Journal of High Energy Physics, Vol. 2016, Issue 2 https://doi.org/10.1007/JHEP02(2016)045	journal	February 2016
On irregular singularity wave functions and superconformal indices Buican, Matthew; Nishinaka, Takahiro Journal of High Energy Physics, Vol. 2017, Issue 9 https://doi.org/10.1007/JHEP09(2017)066	journal	September 2017
Enhancement of Supersymmetry via Renormalization Group Flow and the Superconformal Index Maruyoshi, Kazunobu; Song, Jaewon Physical Review Letters, Vol. 118, Issue 15 https://doi.org/10.1103/PhysRevLett.118.151602	journal	April 2017
N = 1 $$ \mathcal{N}=1 $$ deformations and RG flows of N = 2 $$ \mathcal{N}=2 $$ SCFTs Maruyoshi, Kazunobu; Song, Jaewon Journal of High Energy Physics, Vol. 2017, Issue 2 https://doi.org/10.1007/JHEP02(2017)075	journal	February 2017
N $$ \mathcal{N} $$ =1 Deformations and RG flows of N $$ \mathcal{N} $$ =2 SCFTs, part II: non-principal deformations Agarwal, Prarit; Maruyoshi, Kazunobu; Song, Jaewon Journal of High Energy Physics, Vol. 2016, Issue 12 https://doi.org/10.1007/JHEP12(2016)103	journal	December 2016
S-duality and 2d Topological QFT Gadde, Abhijit; Pomoni, Elli; Rastelli, Leonardo arXiv https://doi.org/10.48550/arxiv.0910.2225	text	January 2009
Framed BPS States Gaiotto, Davide; Moore, Gregory W.; Neitzke, Andrew arXiv https://doi.org/10.48550/arxiv.1006.0146	preprint	January 2010
Spectral networks Gaiotto, Davide; Moore, Gregory W.; Neitzke, Andrew arXiv https://doi.org/10.48550/arxiv.1204.4824	text	January 2012
Schur Indices, BPS Particles, and Argyres-Douglas Theories Cordova, Clay; Shao, Shu-Heng arXiv https://doi.org/10.48550/arxiv.1506.00265	text	January 2015
BPS Graphs: From Spectral Networks to BPS Quivers Gabella, Maxime; Longhi, Pietro; Park, Chan Y. arXiv https://doi.org/10.48550/arxiv.1704.04204	text	January 2017
An Index for 4 dimensional Super Conformal Theories Kinney, Justin; Maldacena, Juan; Minwalla, Shiraz arXiv https://doi.org/10.48550/arxiv.hep-th/0510251	text	January 2005
A New Supersymmetric Index Cecotti, Sergio; Fendley, Paul; Intriligator, Ken arXiv https://doi.org/10.48550/arxiv.hep-th/9204102	text	January 1992
Phases of $N=2$ Theories In Two Dimensions Witten, Edward arXiv https://doi.org/10.48550/arxiv.hep-th/9301042	text	January 1993
New N=2 Superconformal Field Theories in Four Dimensions Argyres, P. C.; Plesser, M. R.; Seiberg, N. arXiv https://doi.org/10.48550/arxiv.hep-th/9511154	text	January 1995
Solutions Of Four-Dimensional Field Theories Via M Theory Witten, Edward arXiv https://doi.org/10.48550/arxiv.hep-th/9703166	text	January 1997
Branes and N=2 Theories in Two Dimensions Hanany, Amihay; Hori, Kentaro arXiv https://doi.org/10.48550/arxiv.hep-th/9707192	text	January 1997

Similar Records

Infrared computations of defect Schur indices

Journal Article · 2016 · Journal of High Energy Physics (Online) · OSTI ID:1368084

Córdova, Clay; Gaiotto, Davide; Shao, Shu-Heng

Surface defect indices and 2d-4d BPS states

Journal Article · 2017 · Journal of High Energy Physics (Online) · OSTI ID:1502495

Córdova, Clay; Gaiotto, Davide; Shao, Shu-Heng

Superconformal index, BPS monodromy and chiral algebras

Journal Article · 2017 · Journal of High Energy Physics (Online) · OSTI ID:1504762

Cecotti, Sergio; Song, Jaewon; Vafa, Cumrun; +1 more

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Title: An infrared bootstrap of the Schur index with surface defects

Citation Formats

References (102)

Similar Records

Related Subjects