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Title: Argyres-Douglas theories and S-duality

Abstract

We generalize S-duality to N=2 superconformal field theories (SCFTs) with Coulomb branch operators of non-integer scaling dimension. As simple examples, we find minimal generalizations of the S-dualities discovered in SU(2) gauge theory with four fundamental flavors by Seiberg and Witten and in SU(3) gauge theory with six fundamental flavors by Argyres and Seiberg. Our constructions start by weakly gauging diagonal SU(2) and SU(3) flavor symmetry subgroups of two copies of a particular rank-one Argyres-Douglas theory (along with sufficient numbers of hypermultiplets to guarantee conformality of the gauging). Here, as we explore the resulting conformal manifold of the SU(2) SCFT, we find an action of S-duality on the parameters of the theory that is reminiscent of Spin(8) triality. On the other hand, as we explore the conformal manifold of the SU(3) theory, we find that an exotic rank-two SCFT emerges in a dual SU(2) description.

Authors:
 [1];  [2];  [1];  [3]
  1. Rutgers Univ., Piscataway, NJ (United States). NHETC and Dept. of Physics and Astronomy
  2. Univ. Libre de Bruxelles and International Solvay Inst., Brussels (Belgium)
  3. Queen Mary Univ. of London (United Kingdom). CRST and School of Physics and Astronomy
Publication Date:
Research Org.:
Rutgers Univ., New Brunswick, NJ (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1454522
Grant/Contract Number:  
SC0007897
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: 2015; 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; Supersymmetry and Duality; Supersymmetric gauge theory; Extended Supersymmetry

Citation Formats

Buican, Matthew, Giacomelli, Simone, Nishinaka, Takahiro, and Papageorgakis, Constantinos. Argyres-Douglas theories and S-duality. United States: N. p., 2015. Web. doi:10.1007/JHEP02(2015)185.
Buican, Matthew, Giacomelli, Simone, Nishinaka, Takahiro, & Papageorgakis, Constantinos. Argyres-Douglas theories and S-duality. United States. https://doi.org/10.1007/JHEP02(2015)185
Buican, Matthew, Giacomelli, Simone, Nishinaka, Takahiro, and Papageorgakis, Constantinos. Fri . "Argyres-Douglas theories and S-duality". United States. https://doi.org/10.1007/JHEP02(2015)185. https://www.osti.gov/servlets/purl/1454522.
@article{osti_1454522,
title = {Argyres-Douglas theories and S-duality},
author = {Buican, Matthew and Giacomelli, Simone and Nishinaka, Takahiro and Papageorgakis, Constantinos},
abstractNote = {We generalize S-duality to N=2 superconformal field theories (SCFTs) with Coulomb branch operators of non-integer scaling dimension. As simple examples, we find minimal generalizations of the S-dualities discovered in SU(2) gauge theory with four fundamental flavors by Seiberg and Witten and in SU(3) gauge theory with six fundamental flavors by Argyres and Seiberg. Our constructions start by weakly gauging diagonal SU(2) and SU(3) flavor symmetry subgroups of two copies of a particular rank-one Argyres-Douglas theory (along with sufficient numbers of hypermultiplets to guarantee conformality of the gauging). Here, as we explore the resulting conformal manifold of the SU(2) SCFT, we find an action of S-duality on the parameters of the theory that is reminiscent of Spin(8) triality. On the other hand, as we explore the conformal manifold of the SU(3) theory, we find that an exotic rank-two SCFT emerges in a dual SU(2) description.},
doi = {10.1007/JHEP02(2015)185},
journal = {Journal of High Energy Physics (Online)},
number = 2,
volume = 2015,
place = {United States},
year = {Fri Feb 27 00:00:00 EST 2015},
month = {Fri Feb 27 00:00:00 EST 2015}
}

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Works referenced in this record:

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


N = 2 dualities
journal, August 2012


Spectral Networks and Snakes
journal, March 2013

  • Gaiotto, Davide; Moore, Gregory W.; Neitzke, Andrew
  • Annales Henri Poincaré, Vol. 15, Issue 1
  • DOI: 10.1007/s00023-013-0238-8

Constraints on chiral operators in N = 2 $$ \mathcal{N}=2 $$ SCFTs
journal, December 2014

  • Buican, Matthew; Nishinaka, Takahiro; Papageorgakis, Constantinos
  • Journal of High Energy Physics, Vol. 2014, Issue 12
  • DOI: 10.1007/JHEP12(2014)095

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


Gauge theories and magnetic charge
journal, July 1977


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


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


Central charges and RG flow of strongly-coupled $ \mathcal{N}=2 $ theory
journal, March 2013


More three dimensional mirror pairs
journal, May 2011


$S$-duality of boundary conditions in ${\mathcal N}=4$ super Yang-Mills theory
journal, January 2009


Solutions of four-dimensional field theories via M-theory
journal, September 1997


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


Coulomb branch and the moduli space of instantons
journal, December 2014

  • Cremonesi, Stefano; Ferlito, Giulia; Hanany, Amihay
  • Journal of High Energy Physics, Vol. 2014, Issue 12
  • DOI: 10.1007/JHEP12(2014)103

An SU(2) anomaly
journal, November 1982


Topological anti-topological fusion in four-dimensional superconformal field theories
journal, August 2010


Redeeming bad theories
journal, November 2013


Tinkertoys for Gaiotto duality
journal, November 2010

  • Chacaltana, Oscar; Distler, Jacques
  • Journal of High Energy Physics, Vol. 2010, Issue 11
  • DOI: 10.1007/JHEP11(2010)099

More on the $ \mathcal{N}=2 $ superconformal systems of type D p (G)
journal, April 2013

  • Cecotti, Sergio; Del Zotto, Michele; Giacomelli, Simone
  • Journal of High Energy Physics, Vol. 2013, Issue 4
  • DOI: 10.1007/JHEP04(2013)153

Magnetic monopoles as gauge particles?
journal, December 1977


On Compact Analytic Surfaces: II
journal, May 1963

  • Kodaira, K.
  • The Annals of Mathematics, Vol. 77, Issue 3
  • DOI: 10.2307/1970131

On conformal field theories with extremal $ \frac{a}{c} $ values
journal, April 2014


Supersymmetry algebras that include topological charges
journal, September 1978


Minimal distances between SCFTs
journal, January 2014


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


On metric geometry of conformal moduli spaces of four-dimensional superconformal theories
journal, September 2010


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


Mirror symmetry in three-dimensional gauge theories, and D-brane moduli spaces
journal, May 1997


Topological charges for N = 4 supersymmetric gauge theories and monopoles of spin 1
journal, May 1979


A holographic computation of the central charges of d = 4, 𝒩 = 2 SCFTs
journal, January 2008


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


Coulomb Phase of N = 2 Supersymmetric QCD
journal, August 1995


General Argyres-Douglas theory
journal, January 2013


Compact conformal manifolds
journal, January 2015

  • Buican, Matthew; Nishinaka, Takahiro
  • Journal of High Energy Physics, Vol. 2015, Issue 1
  • DOI: 10.1007/JHEP01(2015)112

Classification of complete $N = 2$ supersymmetric theories in 4 dimensions
journal, January 2013


Works referencing / citing this record:

On the chiral algebra of Argyres-Douglas theories and S-duality
journal, April 2018

  • Choi, Jaewang; Nishinaka, Takahiro
  • Journal of High Energy Physics, Vol. 2018, Issue 4
  • DOI: 10.1007/jhep04(2018)004

RG flows with supersymmetry enhancement and geometric engineering
journal, June 2018


Flowing from 16 to 32 supercharges
journal, October 2018

  • Buican, Matthew; Laczko, Zoltan; Nishinaka, Takahiro
  • Journal of High Energy Physics, Vol. 2018, Issue 10
  • DOI: 10.1007/jhep10(2018)175

Conformal manifolds in four dimensions and chiral algebras
journal, October 2016


Nonunitary Lagrangians and Unitary Non-Lagrangian Conformal Field Theories
journal, February 2018


Schur Indices, BPS Particles, and Argyres-Douglas Theories
text, January 2015


Argyres-Douglas Theories, Chiral Algebras and Wild Hitchin Characters
text, January 2017