Geometric constraints on the space of N = 2 SCFTs. Part I: physical constraints on relevant deformations

Argyres, Philip; Lotito, Matteo; Lü, Yongchao; Martone, Mario

doi:10.1007/jhep02(2018)001

Title: Geometric constraints on the space of N = 2 SCFTs. Part I: physical constraints on relevant deformations

Abstract

We initiate a systematic study of four dimensional N = 2 superconformal field theories (SCFTs) based on the analysis of their Coulomb branch geometries. Because these SCFTs are not uniquely characterized by their scale-invariant Coulomb branch geometries we also need information on their deformations. We construct all inequivalent such deformations preserving N = 2 supersymmetry and additional physical consistency conditions in the rank 1 case. These not only include all the ones previously predicted by S-duality, but also 16 additional deformations satisfying all the known N = 2 low energy consistency conditions. All but two of these additonal deformations have recently been identified with new rank 1 SCFTs; these identifications are briefly reviewed. Some novel ingredients which are important for this study include: a discussion of RG-flows in the presence of a moduli space of vacua; a classification of local N = 2 supersymmetry-preserving deformations of unitary N = 2 SCFTs; and an analysis of charge normalizations and the Dirac quantization condition on Coulomb branches. With this being said, this paper is the first in a series of three. The second paper [1] gives the details of the explicit construction of the Coulomb branch geometries discussed here, while the thirdmore »« less

Authors:

Argyres, Philip ^[1]; Lotito, Matteo ^[1]; Lü, Yongchao ^[1]; Martone, Mario ^[1]

Univ. of Cincinnati, OH (United States). Physics Dept.

Publication Date:: 2018-02-01

Research Org.:: Univ. of Cincinnati, OH (United States)

Sponsoring Org.:: USDOE Office of Science (SC)

OSTI Identifier:: 1499169

Grant/Contract Number:: SC0011784

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: 2018; Journal Issue: 2; Journal ID: ISSN 1029-8479

Publisher:: Springer Berlin

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Conformal and W Symmetry; Conformal Field Theory; Extended Supersymmetry; Supersymmetric Gauge Theory

Citation Formats


                    Argyres, Philip, Lotito, Matteo, Lü, Yongchao, and Martone, Mario. Geometric constraints on the space of N = 2 SCFTs. Part I: physical constraints on relevant deformations.  United States: N. p., 2018. 
Web.  doi:10.1007/jhep02(2018)001.

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                    Argyres, Philip, Lotito, Matteo, Lü, Yongchao, & Martone, Mario. Geometric constraints on the space of N = 2 SCFTs. Part I: physical constraints on relevant deformations.  United States.  https://doi.org/10.1007/jhep02(2018)001

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                    Argyres, Philip, Lotito, Matteo, Lü, Yongchao, and Martone, Mario. Thu .  
"Geometric constraints on the space of N = 2 SCFTs. Part I: physical constraints on relevant deformations".  United States.  https://doi.org/10.1007/jhep02(2018)001.  https://www.osti.gov/servlets/purl/1499169.

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@article{osti_1499169,

  title        = {Geometric constraints on the space of N = 2 SCFTs. Part I: physical constraints on relevant deformations},

  author       = {Argyres, Philip and Lotito, Matteo and Lü, Yongchao and Martone, Mario},

  abstractNote = {We initiate a systematic study of four dimensional N = 2 superconformal field theories (SCFTs) based on the analysis of their Coulomb branch geometries. Because these SCFTs are not uniquely characterized by their scale-invariant Coulomb branch geometries we also need information on their deformations. We construct all inequivalent such deformations preserving N = 2 supersymmetry and additional physical consistency conditions in the rank 1 case. These not only include all the ones previously predicted by S-duality, but also 16 additional deformations satisfying all the known N = 2 low energy consistency conditions. All but two of these additonal deformations have recently been identified with new rank 1 SCFTs; these identifications are briefly reviewed. Some novel ingredients which are important for this study include: a discussion of RG-flows in the presence of a moduli space of vacua; a classification of local N = 2 supersymmetry-preserving deformations of unitary N = 2 SCFTs; and an analysis of charge normalizations and the Dirac quantization condition on Coulomb branches. With this being said, this paper is the first in a series of three. The second paper [1] gives the details of the explicit construction of the Coulomb branch geometries discussed here, while the third [2] discusses the computation of central charges of the associated SCFTs.},

  doi          = {10.1007/jhep02(2018)001},

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

  number       = 2,

  volume       = 2018,

  place        = {United States},

  year         = {2018},

  month        = {2}

}

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Figure 1: (a) A planar, scale-invariant CB in the rank 1 case. The conformal vacuum is the tip of the cone, at u = 0, while at points with u ≠ 0 conformality is spontaneously broken. (b) A typical “near” deformation of the scale-invariant geometry, in which the conical singularitymore »

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Quantised Singularities in the Electromagnetic Field
journal, September 1931

Dirac, P. A. M.
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 133, Issue 821
DOI: 10.1098/rspa.1931.0130

Superconformal fixed points with En global symmetry
journal, March 1997

Minahan, Joseph A.; Nemeschansky, Dennis
Nuclear Physics B, Vol. 489, Issue 1-2
DOI: 10.1016/S0550-3213(97)00039-4

The N = 2 $$ \mathcal{N}=2 $$ superconformal bootstrap
journal, March 2016

Beem, Christopher; Lemos, Madalena; Liendo, Pedro
Journal of High Energy Physics, Vol. 2016, Issue 3
DOI: 10.1007/JHEP03(2016)183

An N = 2 superconformal fixed point with E6 global symmetry
journal, December 1996

Minahan, Joseph A.; Nemeschansku, Dennis
Nuclear Physics B, Vol. 482, Issue 1-2
DOI: 10.1016/S0550-3213(96)00552-4

Gauge theories and magnetic charge
journal, July 1977

Goddard, P.; Nuyts, J.; Olive, D.
Nuclear Physics B, Vol. 125, Issue 1
DOI: 10.1016/0550-3213(77)90221-8

Hyperkähler metrics and supersymmetry
journal, December 1987

Hitchin, N. J.; Karlhede, A.; Lindström, U.
Communications in Mathematical Physics, Vol. 108, Issue 4
DOI: 10.1007/BF01214418

Duality and Weyl symmetry of 7-brane configurations
journal, September 2000

Hauer, Tamás; Iqbal, Amer; Zwiebach, Barton
Journal of High Energy Physics, Vol. 2000, Issue 09
DOI: 10.1088/1126-6708/2000/09/042

4d N $$ \mathcal{N} $$ =2 theories with disconnected gauge groups
journal, March 2017

Argyres, Philip C.; Martone, Mario
Journal of High Energy Physics, Vol. 2017, Issue 3
DOI: 10.1007/JHEP03(2017)145

The moduli space of vacua of N = 2 SUSY QCD and duality in N = 1 SUSY QCD
journal, July 1996

Argyres, Philip C.; Ronen Plesser, M.; Seiberg, Nathan
Nuclear Physics B, Vol. 471, Issue 1-2
DOI: 10.1016/0550-3213(96)00210-6

Spontaneous breaking of N = 2 global supersymmetry
journal, April 1996

Antoniadis, I.; Partouche, H.; Taylor, T. R.
Physics Letters B, Vol. 372, Issue 1-2
DOI: 10.1016/0370-2693(96)00028-7

An SU(2) anomaly
journal, November 1982

Witten, Edward
Physics Letters B, Vol. 117, Issue 5
DOI: 10.1016/0370-2693(82)90728-6

A Magnetic Model of Matter
journal, August 1969

Schwinger, J.
Science, Vol. 165, Issue 3895
DOI: 10.1126/science.165.3895.757

Calogero-Moser Systems and Hitchin Systems
journal, November 2001

Hurtubise, J. C.; Markman, E.
Communications in Mathematical Physics, Vol. 223, Issue 3
DOI: 10.1007/s002200100546

Expanding the landscape of N $$ \mathcal{N} $$ = 2 rank 1 SCFTs
journal, May 2016

Argyres, Philip C.; Lotito, Matteo; Lü, Yongchao
Journal of High Energy Physics, Vol. 2016, Issue 5
DOI: 10.1007/JHEP05(2016)088

Global symmetries and $$\mathcal{N}=2$$ N = 2 SUSY
journal, March 2017

McOrist, Jock; Melnikov, Ilarion V.; Wecht, Brian
Letters in Mathematical Physics, Vol. 107, Issue 8
DOI: 10.1007/s11005-017-0952-0

Quantum Higgs branches of isolated $\mathcal{N}=2$ superconformal field theories
journal, October 2012

Argyres, Philip C.; Maruyoshi, Kazunobu; Tachikawa, Yuji
Journal of High Energy Physics, Vol. 2012, Issue 10
DOI: 10.1007/JHEP10(2012)054

Finite Unitary Reflection Groups
journal, January 1954

Shephard, G. C.; Todd, J. A.
Canadian Journal of Mathematics, Vol. 6
DOI: 10.4153/CJM-1954-028-3

Comments on scaling limits of 4d $ \mathcal{N} = 2 $ theories
journal, January 2011

Gaiotto, Davide; Seiberg, Nathan; Tachikawa, Yuji
Journal of High Energy Physics, Vol. 2011, Issue 1
DOI: 10.1007/JHEP01(2011)078

Open string - string junction transitions
journal, August 1998

Gaberdiel, Matthias R.; Hauer, Tamás; Zwiebach, Barton
Nuclear Physics B, Vol. 525, Issue 1-2
DOI: 10.1016/S0550-3213(98)00290-9

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
DOI: 10.1016/0550-3213(94)90124-4

-Algebras with two and three generators
journal, August 1991

Blumenhagen, R.; Flohr, M.; Kliem, A.
Nuclear Physics B, Vol. 361, Issue 1
DOI: 10.1016/0550-3213(91)90624-7

Exceptional groups from open strings
journal, May 1998

Gaberdiel, Matthius R.; Zwiebach, Barton
Nuclear Physics B, Vol. 518, Issue 1-2
DOI: 10.1016/S0550-3213(97)00841-9

Infinite coupling duals of N = 2 gauge theories and new rank 1 superconformal field theories
journal, January 2008

Argyres, Philip C.; Wittig, John R.
Journal of High Energy Physics, Vol. 2008, Issue 01
DOI: 10.1088/1126-6708/2008/01/074

Infinite Chiral Symmetry in Four Dimensions
journal, January 2015

Beem, Christopher; Lemos, Madalena; Liendo, Pedro
Communications in Mathematical Physics, Vol. 336, Issue 3
DOI: 10.1007/s00220-014-2272-x

Proposal for a simple model of dynamical SUSY breaking
journal, January 1995

Intriligator, K.; Seiberg, N.; Shenker, S. H.
Physics Letters B, Vol. 342, Issue 1-4
DOI: 10.1016/0370-2693(94)01336-B

Uncovering the symmetries on $[p,q]$ 7-branes: Beyond the Kodaira classification
journal, January 1999

DeWolfe, Oliver; Hauer, Tamás; Iqbal, Amer
Advances in Theoretical and Mathematical Physics, Vol. 3, Issue 6
DOI: 10.4310/ATMP.1999.v3.n6.a5

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
DOI: 10.1016/0550-3213(94)90214-3

Generalised Calogero-Moser Models and Universal Lax Pair Operators
journal, September 1999

Bordner, A. J.; Corrigan, E.; Sasaki, R.
Progress of Theoretical Physics, Vol. 102, Issue 3
DOI: 10.1143/PTP.102.499

String junctions for arbitrary Lie-algebra representations
journal, March 1999

DeWolfe, Oliver; Zwiebach, Barton
Nuclear Physics B, Vol. 541, Issue 3
DOI: 10.1016/S0550-3213(98)00743-3

Chiral gauge dynamics and dynamical supersymmetry breaking
journal, July 2009

Poppitz, Erich; Ünsal, Mithat
Journal of High Energy Physics, Vol. 2009, Issue 07
DOI: 10.1088/1126-6708/2009/07/060

Toroidal compactification of heterotic 6D non-critical strings down to four dimensions
journal, March 1997

Ganor, Ori J.
Nuclear Physics B, Vol. 488, Issue 1-2
DOI: 10.1016/S0550-3213(96)00687-6

Five dimensional SUSY field theories, non-trivial fixed points and string dynamics
journal, November 1996

Seiberg, Nathan
Physics Letters B, Vol. 388, Issue 4
DOI: 10.1016/S0370-2693(96)01215-4

New phenomena in SU(3) supersymmetric gauge theory
journal, August 1995

Argyres, Philip C.; Douglas, Michael R.
Nuclear Physics B, Vol. 448, Issue 1-2
DOI: 10.1016/0550-3213(95)00281-V

On dangerous irrelevant operators
journal, May 1982

Amit, Daniel J.; Peliti, Luca
Annals of Physics, Vol. 140, Issue 2
DOI: 10.1016/0003-4916(82)90159-2

Counting RG flows
journal, January 2016

Gukov, Sergei
Journal of High Energy Physics, Vol. 2016, Issue 1
DOI: 10.1007/JHEP01(2016)020

Quantum Field Theory of Particles with Both Electric and Magnetic Charges
journal, December 1968

Zwanziger, Daniel
Physical Review, Vol. 176, Issue 5
DOI: 10.1103/PhysRev.176.1489

Exactly marginal deformations and global symmetries
journal, June 2010

Green, Daniel; Komargodski, Zohar; Seiberg, Nathan
Journal of High Energy Physics, Vol. 2010, Issue 6
DOI: 10.1007/JHEP06(2010)106

Introduction toS-Duality inN = 2 Supersymmetric Gauge Theories (A Pedagogical Review of the Work of Seiberg and Witten)
journal, January 1997

Alvarez-Gaumé, Luis; Hassan, S. F.
Fortschritte der Physik/Progress of Physics, Vol. 45, Issue 3-4
DOI: 10.1002/prop.2190450302

Central charges of 𝒩 = 2 superconformal field theories in four dimensions
journal, September 2008

Shapere, Alfred D.; Tachikawa, Yuji
Journal of High Energy Physics, Vol. 2008, Issue 09
DOI: 10.1088/1126-6708/2008/09/109

Invariants of Finite Groups Generated by Reflections
journal, October 1955

Chevalley, Claude
American Journal of Mathematics, Vol. 77, Issue 4
DOI: 10.2307/2372597

On the Structure of Compact Complex Analytic Surfaces, II
journal, July 1966

Kodaira, K.
American Journal of Mathematics, Vol. 88, Issue 3
DOI: 10.2307/2373150

All Possible Symmetries of the $S$ Matrix
journal, July 1967

Coleman, Sidney; Mandula, Jeffrey
Physical Review, Vol. 159, Issue 5
DOI: 10.1103/PhysRev.159.1251

The gauge-invariant N=2 supersymmetric σ-model with general scalar potential
journal, March 1984

Sierra, G.; Townsend, P. K.
Nuclear Physics B, Vol. 233, Issue 2
DOI: 10.1016/0550-3213(84)90417-6

On short and semi-short representations for four-dimensional superconformal symmetry
journal, September 2003

Dolan, F. A.; Osborn, H.
Annals of Physics, Vol. 307, Issue 1
DOI: 10.1016/S0003-4916(03)00074-5

Deformations of superconformal theories
journal, November 2016

Córdova, Clay; Dumitrescu, Thomas T.; Intriligator, Kenneth
Journal of High Energy Physics, Vol. 2016, Issue 11
DOI: 10.1007/JHEP11(2016)135

Supersymmetric Yang-Mills theory and integrable systems
journal, February 1996

Donagi, Ron; Witten, Edward
Nuclear Physics B, Vol. 460, Issue 2
DOI: 10.1016/0550-3213(95)00609-5

Seiberg-Witten geometries for Coulomb branch chiral rings which are not freely generated
journal, June 2017

Argyres, Philip C.; Lü, Yongchao; Martone, Mario
Journal of High Energy Physics, Vol. 2017, Issue 6
DOI: 10.1007/JHEP06(2017)144

New = 2 superconformal field theories in four dimensions
journal, February 1996

Argyres, Philip C.; Ronen Plesser, M.; Seiberg, Nathan
Nuclear Physics B, Vol. 461, Issue 1-2
DOI: 10.1016/0550-3213(95)00671-0

Chiral algebras of class S $$ \mathcal{S} $$
journal, May 2015

Beem, Christopher; Peelaers, Wolfger; Rastelli, Leonardo
Journal of High Energy Physics, Vol. 2015, Issue 5
DOI: 10.1007/JHEP05(2015)020

Nonlinear σ-models and their gauging in and out of superspace
journal, March 1986

Hull, C. M.; Karlhede, A.; Lindström, U.
Nuclear Physics B, Vol. 266, Issue 1
DOI: 10.1016/0550-3213(86)90175-6

Mass deformations of four-dimensional, rank 1, N=2 superconformal field theories
journal, December 2013

Argyres, Philip C.
Journal of Physics: Conference Series, Vol. 462
DOI: 10.1088/1742-6596/462/1/012001

On the Structure of Compact Complex Analytic Surfaces, I
journal, October 1964

Kodaira, K.
American Journal of Mathematics, Vol. 86, Issue 4
DOI: 10.2307/2373157

S-duality in N = 2 supersymmetric gauge theories
journal, December 2007

Argyres, Philip C.; Seiberg, Nathan
Journal of High Energy Physics, Vol. 2007, Issue 12
DOI: 10.1088/1126-6708/2007/12/088

Special K�hler Manifolds
journal, May 1999

Freed, Daniel S.
Communications in Mathematical Physics, Vol. 203, Issue 1
DOI: 10.1007/s002200050604

All positive energy unitary irreducible representations of extended conformal supersymmetry
journal, November 1985

Dobrev, V. K.; Petkova, V. B.
Physics Letters B, Vol. 162, Issue 1-3
DOI: 10.1016/0370-2693(85)91073-1

Reflection groups and coxeter groups
text, January 2016

Bingham, Kouver
University of Utah
DOI: 10.26053/0h-8rtg-5500

On the Structure of Compact Complex Analytic Surfaces, ii
journal, June 1964

Kodaira, K.
Proceedings of the National Academy of Sciences, Vol. 51, Issue 6
DOI: 10.1073/pnas.51.6.1100

Infinite coupling duals of N=2 gauge theories and new rank 1 superconformal field theories
text, January 2007

Argyres, Philip C.; Wittig, John R.
arXiv
DOI: 10.48550/arxiv.0712.2028

Central charges of N=2 superconformal field theories in four dimensions
text, January 2008

Shapere, Alfred D.; Tachikawa, Yuji
arXiv
DOI: 10.48550/arxiv.0804.1957

Chiral gauge dynamics and dynamical supersymmetry breaking
text, January 2009

Poppitz, Erich; Unsal, Mithat
arXiv
DOI: 10.48550/arxiv.0905.0634

Infinite Chiral Symmetry in Four Dimensions
text, January 2013

Beem, Christopher; Lemos, Madalena; Liendo, Pedro
arXiv
DOI: 10.48550/arxiv.1312.5344

Seiberg-Witten geometries for Coulomb branch chiral rings which are not freely generated
text, January 2017

Argyres, Philip C.; Lü, Yongchao; Martone, Mario
arXiv
DOI: 10.48550/arxiv.1704.05110

On Short and Semi-Short Representations for Four Dimensional Superconformal Symmetry
text, January 2002

Dolan, F. A.; Osborn, H.
arXiv
DOI: 10.48550/arxiv.hep-th/0209056

New N=2 Superconformal Field Theories in Four Dimensions
text, January 1995

Argyres, P. C.; Plesser, M. R.; Seiberg, N.
arXiv
DOI: 10.48550/arxiv.hep-th/9511154

An N=2 Superconformal Fixed Point with E_6 Global Symmetry
text, January 1996

Minahan, Joseph A.; Nemeschansky, Dennis
arXiv
DOI: 10.48550/arxiv.hep-th/9608047

Toroidal Compactification of Heterotic 6D Non-Critical Strings Down to Four Dimensions
text, January 1996

Ganor, Ori J.
arXiv
DOI: 10.48550/arxiv.hep-th/9608109

Five Dimensional SUSY Field Theories, Non-trivial Fixed Points and String Dynamics
text, January 1996

Seiberg, Nathan
arXiv
DOI: 10.48550/arxiv.hep-th/9608111

Superconformal Fixed Points with E_n Global Symmetry
text, January 1996

Minahan, Joseph A.; Nemeschansky, Dennis
arXiv
DOI: 10.48550/arxiv.hep-th/9610076

Introduction to S-Duality in N=2 Supersymmetric Gauge Theory. (A pedagogical review of the work of Seiberg and Witten)
text, January 1997

Alvarez-Gaume, L.; Hassan, S. F.
arXiv
DOI: 10.48550/arxiv.hep-th/9701069

Exceptional groups from open strings
text, January 1997

Gaberdiel, Matthias R.; Zwiebach, Barton
arXiv
DOI: 10.48550/arxiv.hep-th/9709013

Special Kahler Manifolds
text, January 1997

Freed, Daniel S.
arXiv
DOI: 10.48550/arxiv.hep-th/9712042

Open string - string junction transitions
text, January 1998

Gaberdiel, Matthias R.; Hauer, Tamas; Zwiebach, Barton
arXiv
DOI: 10.48550/arxiv.hep-th/9801205

String Junctions for Arbitrary Lie Algebra Representations
text, January 1998

DeWolfe, Oliver; Zwiebach, Barton
arXiv
DOI: 10.48550/arxiv.hep-th/9804210

Uncovering the Symmetries on [p,q] 7-branes: Beyond the Kodaira Classification
text, January 1998

DeWolfe, Oliver; Hauer, Tamas; Iqbal, Amer
arXiv
DOI: 10.48550/arxiv.hep-th/9812028

Generalised Calogero-Moser models and universal Lax pair operators
text, January 1999

Bordner, A. J.; Corrigan, E.; Sasaki, R.
arXiv
DOI: 10.48550/arxiv.hep-th/9905011

Calogero-Moser systems and Hitchin systems
text, January 1999

Hurtubise, J. C.; Markman, E.
arXiv
DOI: 10.48550/arxiv.math/9912161

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Title: Geometric constraints on the space of N = 2 SCFTs. Part I: physical constraints on relevant deformations

Abstract

Citation Formats

Figures / Tables:

Quantised Singularities in the Electromagnetic Field journal, September 1931

Superconformal fixed points with En global symmetry journal, March 1997

The N = 2 $$ \mathcal{N}=2 $$ superconformal bootstrap journal, March 2016

An N = 2 superconformal fixed point with E6 global symmetry journal, December 1996

Gauge theories and magnetic charge journal, July 1977

Hyperkähler metrics and supersymmetry journal, December 1987

Duality and Weyl symmetry of 7-brane configurations journal, September 2000

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The moduli space of vacua of N = 2 SUSY QCD and duality in N = 1 SUSY QCD journal, July 1996

Spontaneous breaking of N = 2 global supersymmetry journal, April 1996

An SU(2) anomaly journal, November 1982

A Magnetic Model of Matter journal, August 1969

Calogero-Moser Systems and Hitchin Systems journal, November 2001

Expanding the landscape of N $$ \mathcal{N} $$ = 2 rank 1 SCFTs journal, May 2016

Global symmetries and $$\mathcal{N}=2$$ N = 2 SUSY journal, March 2017

Quantum Higgs branches of isolated $\mathcal{N}=2$ superconformal field theories journal, October 2012

Finite Unitary Reflection Groups journal, January 1954

Comments on scaling limits of 4d $ \mathcal{N} = 2 $ theories journal, January 2011

Open string - string junction transitions journal, August 1998

Electric-magnetic duality, monopole condensation, and confinement in N=2 supersymmetric Yang-Mills theory journal, September 1994

-Algebras with two and three generators journal, August 1991

Exceptional groups from open strings journal, May 1998

Infinite coupling duals of N = 2 gauge theories and new rank 1 superconformal field theories journal, January 2008

Infinite Chiral Symmetry in Four Dimensions journal, January 2015

Proposal for a simple model of dynamical SUSY breaking journal, January 1995

Uncovering the symmetries on $[p,q]$ 7-branes: Beyond the Kodaira classification journal, January 1999

Monopoles, duality and chiral symmetry breaking in N = 2 supersymmetric QCD journal, December 1994

Generalised Calogero-Moser Models and Universal Lax Pair Operators journal, September 1999

String junctions for arbitrary Lie-algebra representations journal, March 1999

Chiral gauge dynamics and dynamical supersymmetry breaking journal, July 2009

Toroidal compactification of heterotic 6D non-critical strings down to four dimensions journal, March 1997

Five dimensional SUSY field theories, non-trivial fixed points and string dynamics journal, November 1996

New phenomena in SU(3) supersymmetric gauge theory journal, August 1995

On dangerous irrelevant operators journal, May 1982

Counting RG flows journal, January 2016

Quantum Field Theory of Particles with Both Electric and Magnetic Charges journal, December 1968

Exactly marginal deformations and global symmetries journal, June 2010

Introduction toS-Duality inN = 2 Supersymmetric Gauge Theories (A Pedagogical Review of the Work of Seiberg and Witten) journal, January 1997

Central charges of 𝒩 = 2 superconformal field theories in four dimensions journal, September 2008

Invariants of Finite Groups Generated by Reflections journal, October 1955

On the Structure of Compact Complex Analytic Surfaces, II journal, July 1966

All Possible Symmetries of the S Matrix journal, July 1967

The gauge-invariant N=2 supersymmetric σ-model with general scalar potential journal, March 1984

On short and semi-short representations for four-dimensional superconformal symmetry journal, September 2003

Deformations of superconformal theories journal, November 2016

Supersymmetric Yang-Mills theory and integrable systems journal, February 1996

Seiberg-Witten geometries for Coulomb branch chiral rings which are not freely generated journal, June 2017

New = 2 superconformal field theories in four dimensions journal, February 1996

Chiral algebras of class S $$ \mathcal{S} $$ journal, May 2015

Nonlinear σ-models and their gauging in and out of superspace journal, March 1986

Mass deformations of four-dimensional, rank 1, N=2 superconformal field theories journal, December 2013

On the Structure of Compact Complex Analytic Surfaces, I journal, October 1964

S-duality in N = 2 supersymmetric gauge theories journal, December 2007

Special K�hler Manifolds journal, May 1999

All positive energy unitary irreducible representations of extended conformal supersymmetry journal, November 1985

Reflection groups and coxeter groups text, January 2016

On the Structure of Compact Complex Analytic Surfaces, ii journal, June 1964

Infinite coupling duals of N=2 gauge theories and new rank 1 superconformal field theories text, January 2007

Central charges of N=2 superconformal field theories in four dimensions text, January 2008

Chiral gauge dynamics and dynamical supersymmetry breaking text, January 2009

Infinite Chiral Symmetry in Four Dimensions text, January 2013

Seiberg-Witten geometries for Coulomb branch chiral rings which are not freely generated text, January 2017

On Short and Semi-Short Representations for Four Dimensional Superconformal Symmetry text, January 2002

New N=2 Superconformal Field Theories in Four Dimensions text, January 1995

An N=2 Superconformal Fixed Point with E_6 Global Symmetry text, January 1996

Toroidal Compactification of Heterotic 6D Non-Critical Strings Down to Four Dimensions text, January 1996

Five Dimensional SUSY Field Theories, Non-trivial Fixed Points and String Dynamics text, January 1996

Superconformal Fixed Points with E_n Global Symmetry text, January 1996

Introduction to S-Duality in N=2 Supersymmetric Gauge Theory. (A pedagogical review of the work of Seiberg and Witten) text, January 1997

Exceptional groups from open strings text, January 1997

Special Kahler Manifolds text, January 1997

Open string - string junction transitions text, January 1998

String Junctions for Arbitrary Lie Algebra Representations text, January 1998

Uncovering the Symmetries on [p,q] 7-branes: Beyond the Kodaira Classification text, January 1998

Generalised Calogero-Moser models and universal Lax pair operators text, January 1999

Calogero-Moser systems and Hitchin systems text, January 1999

Quantised Singularities in the Electromagnetic Field
journal, September 1931

Superconformal fixed points with En global symmetry
journal, March 1997

The N = 2 $$ \mathcal{N}=2 $$ superconformal bootstrap
journal, March 2016

An N = 2 superconformal fixed point with E6 global symmetry
journal, December 1996

Gauge theories and magnetic charge
journal, July 1977

Hyperkähler metrics and supersymmetry
journal, December 1987

Duality and Weyl symmetry of 7-brane configurations
journal, September 2000

4d N $$ \mathcal{N} $$ =2 theories with disconnected gauge groups
journal, March 2017

The moduli space of vacua of N = 2 SUSY QCD and duality in N = 1 SUSY QCD
journal, July 1996

Spontaneous breaking of N = 2 global supersymmetry
journal, April 1996

An SU(2) anomaly
journal, November 1982

A Magnetic Model of Matter
journal, August 1969

Calogero-Moser Systems and Hitchin Systems
journal, November 2001

Expanding the landscape of N $$ \mathcal{N} $$ = 2 rank 1 SCFTs
journal, May 2016

Global symmetries and $$\mathcal{N}=2$$ N = 2 SUSY
journal, March 2017

Quantum Higgs branches of isolated $\mathcal{N}=2$ superconformal field theories
journal, October 2012

Finite Unitary Reflection Groups
journal, January 1954

Comments on scaling limits of 4d $ \mathcal{N} = 2 $ theories
journal, January 2011

Open string - string junction transitions
journal, August 1998

Electric-magnetic duality, monopole condensation, and confinement in N=2 supersymmetric Yang-Mills theory
journal, September 1994

-Algebras with two and three generators
journal, August 1991

Exceptional groups from open strings
journal, May 1998

Infinite coupling duals of N = 2 gauge theories and new rank 1 superconformal field theories
journal, January 2008

Infinite Chiral Symmetry in Four Dimensions
journal, January 2015

Proposal for a simple model of dynamical SUSY breaking
journal, January 1995

Uncovering the symmetries on $[p,q]$ 7-branes: Beyond the Kodaira classification
journal, January 1999

Monopoles, duality and chiral symmetry breaking in N = 2 supersymmetric QCD
journal, December 1994

Generalised Calogero-Moser Models and Universal Lax Pair Operators
journal, September 1999

String junctions for arbitrary Lie-algebra representations
journal, March 1999

Chiral gauge dynamics and dynamical supersymmetry breaking
journal, July 2009

Toroidal compactification of heterotic 6D non-critical strings down to four dimensions
journal, March 1997

Five dimensional SUSY field theories, non-trivial fixed points and string dynamics
journal, November 1996

New phenomena in SU(3) supersymmetric gauge theory
journal, August 1995

On dangerous irrelevant operators
journal, May 1982

Counting RG flows
journal, January 2016

Quantum Field Theory of Particles with Both Electric and Magnetic Charges
journal, December 1968

Exactly marginal deformations and global symmetries
journal, June 2010

Introduction toS-Duality inN = 2 Supersymmetric Gauge Theories (A Pedagogical Review of the Work of Seiberg and Witten)
journal, January 1997

Central charges of 𝒩 = 2 superconformal field theories in four dimensions
journal, September 2008

Invariants of Finite Groups Generated by Reflections
journal, October 1955

On the Structure of Compact Complex Analytic Surfaces, II
journal, July 1966

All Possible Symmetries of the $S$ Matrix
journal, July 1967

The gauge-invariant N=2 supersymmetric σ-model with general scalar potential
journal, March 1984

On short and semi-short representations for four-dimensional superconformal symmetry
journal, September 2003

Deformations of superconformal theories
journal, November 2016

Supersymmetric Yang-Mills theory and integrable systems
journal, February 1996

Seiberg-Witten geometries for Coulomb branch chiral rings which are not freely generated
journal, June 2017

New = 2 superconformal field theories in four dimensions
journal, February 1996

Chiral algebras of class S $$ \mathcal{S} $$
journal, May 2015

Nonlinear σ-models and their gauging in and out of superspace
journal, March 1986

Mass deformations of four-dimensional, rank 1, N=2 superconformal field theories
journal, December 2013

On the Structure of Compact Complex Analytic Surfaces, I
journal, October 1964

S-duality in N = 2 supersymmetric gauge theories
journal, December 2007

Special K�hler Manifolds
journal, May 1999

All positive energy unitary irreducible representations of extended conformal supersymmetry
journal, November 1985

Reflection groups and coxeter groups
text, January 2016

On the Structure of Compact Complex Analytic Surfaces, ii
journal, June 1964

Infinite coupling duals of N=2 gauge theories and new rank 1 superconformal field theories
text, January 2007

Central charges of N=2 superconformal field theories in four dimensions
text, January 2008

Chiral gauge dynamics and dynamical supersymmetry breaking
text, January 2009

Infinite Chiral Symmetry in Four Dimensions
text, January 2013

Seiberg-Witten geometries for Coulomb branch chiral rings which are not freely generated
text, January 2017

On Short and Semi-Short Representations for Four Dimensional Superconformal Symmetry
text, January 2002

New N=2 Superconformal Field Theories in Four Dimensions
text, January 1995

An N=2 Superconformal Fixed Point with E_6 Global Symmetry
text, January 1996

Toroidal Compactification of Heterotic 6D Non-Critical Strings Down to Four Dimensions
text, January 1996

Five Dimensional SUSY Field Theories, Non-trivial Fixed Points and String Dynamics
text, January 1996

Superconformal Fixed Points with E_n Global Symmetry
text, January 1996

Introduction to S-Duality in N=2 Supersymmetric Gauge Theory. (A pedagogical review of the work of Seiberg and Witten)
text, January 1997

Exceptional groups from open strings
text, January 1997

Special Kahler Manifolds
text, January 1997

Open string - string junction transitions
text, January 1998

String Junctions for Arbitrary Lie Algebra Representations
text, January 1998

Uncovering the Symmetries on [p,q] 7-branes: Beyond the Kodaira Classification
text, January 1998

Generalised Calogero-Moser models and universal Lax pair operators
text, January 1999

Calogero-Moser systems and Hitchin systems
text, January 1999

Universal correlation functions in rank 1 SCFTs
journal, December 2019