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 »
- Authors:
-
- Univ. of Cincinnati, OH (United States). Physics Dept.
- Publication Date:
- 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.
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
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.
@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 = {Thu Feb 01 00:00:00 EST 2018},
month = {Thu Feb 01 00:00:00 EST 2018}
}
Free Publicly Available Full Text
Publisher's Version of Record
Other availability
Search WorldCat to find libraries that may hold this journal
Cited by: 69 works
Citation information provided by
Web of Science
Web of Science
Figures / Tables:
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 »
All figures and tables
(9 total)
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.
Works referenced in this record:
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
Superconformal fixed points with En global symmetry
journal, March 1997
- Minahan, Joseph A.; Nemeschansky, Dennis
- Nuclear Physics B, Vol. 489, Issue 1-2
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
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
Gauge theories and magnetic charge
journal, July 1977
- Goddard, P.; Nuyts, J.; Olive, D.
- Nuclear Physics B, Vol. 125, Issue 1
Hyperkähler metrics and supersymmetry
journal, December 1987
- Hitchin, N. J.; Karlhede, A.; Lindström, U.
- Communications in Mathematical Physics, Vol. 108, Issue 4
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
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
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
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
Calogero-Moser Systems and Hitchin Systems
journal, November 2001
- Hurtubise, J. C.; Markman, E.
- Communications in Mathematical Physics, Vol. 223, Issue 3
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
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
Finite Unitary Reflection Groups
journal, January 1954
- Shephard, G. C.; Todd, J. A.
- Canadian Journal of Mathematics, Vol. 6
Open string - string junction transitions
journal, August 1998
- Gaberdiel, Matthias R.; Hauer, Tamás; Zwiebach, Barton
- Nuclear Physics B, Vol. 525, Issue 1-2
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
-Algebras with two and three generators
journal, August 1991
- Blumenhagen, R.; Flohr, M.; Kliem, A.
- Nuclear Physics B, Vol. 361, Issue 1
Exceptional groups from open strings
journal, May 1998
- Gaberdiel, Matthius R.; Zwiebach, Barton
- Nuclear Physics B, Vol. 518, Issue 1-2
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
Infinite Chiral Symmetry in Four Dimensions
journal, January 2015
- Beem, Christopher; Lemos, Madalena; Liendo, Pedro
- Communications in Mathematical Physics, Vol. 336, Issue 3
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
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
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
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
String junctions for arbitrary Lie-algebra representations
journal, March 1999
- DeWolfe, Oliver; Zwiebach, Barton
- Nuclear Physics B, Vol. 541, Issue 3
Chiral gauge dynamics and dynamical supersymmetry breaking
journal, July 2009
- Poppitz, Erich; Ünsal, Mithat
- Journal of High Energy Physics, Vol. 2009, Issue 07
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
Five dimensional SUSY field theories, non-trivial fixed points and string dynamics
journal, November 1996
- Seiberg, Nathan
- Physics Letters B, Vol. 388, Issue 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
On dangerous irrelevant operators
journal, May 1982
- Amit, Daniel J.; Peliti, Luca
- Annals of Physics, Vol. 140, Issue 2
Counting RG flows
journal, January 2016
- Gukov, Sergei
- Journal of High Energy Physics, Vol. 2016, Issue 1
Quantum Field Theory of Particles with Both Electric and Magnetic Charges
journal, December 1968
- Zwanziger, Daniel
- Physical Review, Vol. 176, Issue 5
Exactly marginal deformations and global symmetries
journal, June 2010
- Green, Daniel; Komargodski, Zohar; Seiberg, Nathan
- Journal of High Energy Physics, Vol. 2010, Issue 6
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
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
Invariants of Finite Groups Generated by Reflections
journal, October 1955
- Chevalley, Claude
- American Journal of Mathematics, Vol. 77, Issue 4
On the Structure of Compact Complex Analytic Surfaces, II
journal, July 1966
- Kodaira, K.
- American Journal of Mathematics, Vol. 88, Issue 3
All Possible Symmetries of the Matrix
journal, July 1967
- Coleman, Sidney; Mandula, Jeffrey
- Physical Review, Vol. 159, Issue 5
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
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
Deformations of superconformal theories
journal, November 2016
- Córdova, Clay; Dumitrescu, Thomas T.; Intriligator, Kenneth
- Journal of High Energy Physics, Vol. 2016, Issue 11
Supersymmetric Yang-Mills theory and integrable systems
journal, February 1996
- Donagi, Ron; Witten, Edward
- Nuclear Physics B, Vol. 460, Issue 2
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
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
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
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
On the Structure of Compact Complex Analytic Surfaces, I
journal, October 1964
- Kodaira, K.
- American Journal of Mathematics, Vol. 86, Issue 4
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
Special K�hler Manifolds
journal, May 1999
- Freed, Daniel S.
- Communications in Mathematical Physics, Vol. 203, Issue 1
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
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
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
Central charges of N=2 superconformal field theories in four dimensions
text, January 2008
- Shapere, Alfred D.; Tachikawa, Yuji
- arXiv
Chiral gauge dynamics and dynamical supersymmetry breaking
text, January 2009
- Poppitz, Erich; Unsal, Mithat
- arXiv
Infinite Chiral Symmetry in Four Dimensions
text, January 2013
- Beem, Christopher; Lemos, Madalena; Liendo, Pedro
- arXiv
4d $\mathcal{N}$=2 theories with disconnected gauge groups
text, January 2016
- Argyres, Philip C.; Martone, Mario
- arXiv
Seiberg-Witten geometries for Coulomb branch chiral rings which are not freely generated
text, January 2017
- Argyres, Philip C.; Lü, Yongchao; Martone, Mario
- arXiv
On Short and Semi-Short Representations for Four Dimensional Superconformal Symmetry
text, January 2002
- Dolan, F. A.; Osborn, H.
- arXiv
New N=2 Superconformal Field Theories in Four Dimensions
text, January 1995
- Argyres, P. C.; Plesser, M. R.; Seiberg, N.
- arXiv
An N=2 Superconformal Fixed Point with E_6 Global Symmetry
text, January 1996
- Minahan, Joseph A.; Nemeschansky, Dennis
- arXiv
Toroidal Compactification of Heterotic 6D Non-Critical Strings Down to Four Dimensions
text, January 1996
- Ganor, Ori J.
- arXiv
Five Dimensional SUSY Field Theories, Non-trivial Fixed Points and String Dynamics
text, January 1996
- Seiberg, Nathan
- arXiv
Superconformal Fixed Points with E_n Global Symmetry
text, January 1996
- Minahan, Joseph A.; Nemeschansky, Dennis
- arXiv
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
Exceptional groups from open strings
text, January 1997
- Gaberdiel, Matthias R.; Zwiebach, Barton
- arXiv
Open string - string junction transitions
text, January 1998
- Gaberdiel, Matthias R.; Hauer, Tamas; Zwiebach, Barton
- arXiv
String Junctions for Arbitrary Lie Algebra Representations
text, January 1998
- DeWolfe, Oliver; Zwiebach, Barton
- arXiv
Uncovering the Symmetries on [p,q] 7-branes: Beyond the Kodaira Classification
text, January 1998
- DeWolfe, Oliver; Hauer, Tamas; Iqbal, Amer
- arXiv
Generalised Calogero-Moser models and universal Lax pair operators
text, January 1999
- Bordner, A. J.; Corrigan, E.; Sasaki, R.
- arXiv
Works referencing / citing this record:
Universal correlation functions in rank 1 SCFTs
journal, December 2019
- Hellerman, Simeon; Maeda, Shunsuke; Orlando, Domenico
- Journal of High Energy Physics, Vol. 2019, Issue 12
Figures / Tables found in this record:
Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.