Argyres-Douglas theories and S-duality

Buican, Matthew; Giacomelli, Simone; Nishinaka, Takahiro; Papageorgakis, Constantinos

doi:10.1007/JHEP02(2015)185

Title: Argyres-Douglas theories and S-duality

Journal Article · Fri Feb 27 00:00:00 EST 2015 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/JHEP02(2015)185· OSTI ID:1454522

Buican, Matthew ^[1]; Giacomelli, Simone ^[2]; Nishinaka, Takahiro ^[1]; Papageorgakis, Constantinos ^[3]

Rutgers Univ., Piscataway, NJ (United States). NHETC and Dept. of Physics and Astronomy
Univ. Libre de Bruxelles and International Solvay Inst., Brussels (Belgium)
Queen Mary Univ. of London (United Kingdom). CRST and School of Physics and Astronomy

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.

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Research Organization:: Rutgers Univ., New Brunswick, NJ (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: SC0007897

OSTI ID:: 1454522

Journal Information:: Journal of High Energy Physics (Online), Vol. 2015, Issue 2; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 36 works

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References (35)

Infinite coupling duals of N = 2 gauge theories and new rank 1 superconformal field theories Argyres, Philip C.; Wittig, John R. Journal of High Energy Physics, Vol. 2008, Issue 01 https://doi.org/10.1088/1126-6708/2008/01/074	journal	January 2008
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 and Snakes Gaiotto, Davide; Moore, Gregory W.; Neitzke, Andrew Annales Henri Poincaré, Vol. 15, Issue 1 https://doi.org/10.1007/s00023-013-0238-8	journal	March 2013
Constraints on chiral operators in N = 2 $$ \mathcal{N}=2 $$ SCFTs Buican, Matthew; Nishinaka, Takahiro; Papageorgakis, Constantinos Journal of High Energy Physics, Vol. 2014, Issue 12 https://doi.org/10.1007/JHEP12(2014)095	journal	December 2014
An N = 2 superconformal fixed point with E6 global symmetry Minahan, Joseph A.; Nemeschansku, Dennis Nuclear Physics B, Vol. 482, Issue 1-2 https://doi.org/10.1016/S0550-3213(96)00552-4	journal	December 1996
Gauge theories and magnetic charge Goddard, P.; Nuyts, J.; Olive, D. Nuclear Physics B, Vol. 125, Issue 1 https://doi.org/10.1016/0550-3213(77)90221-8	journal	July 1977
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
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
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
More three dimensional mirror pairs Nanopoulos, Dimitri; Xie, Dan Journal of High Energy Physics, Vol. 2011, Issue 5 https://doi.org/10.1007/JHEP05(2011)071	journal	May 2011
$S$-duality of boundary conditions in ${\mathcal N}=4$ super Yang-Mills theory Gaiotto, David; Witten, Edward Advances in Theoretical and Mathematical Physics, Vol. 13, Issue 3 https://doi.org/10.4310/ATMP.2009.v13.n3.a5	journal	January 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
Central charges of 𝒩 = 2 superconformal field theories in four dimensions Shapere, Alfred D.; Tachikawa, Yuji Journal of High Energy Physics, Vol. 2008, Issue 09 https://doi.org/10.1088/1126-6708/2008/09/109	journal	September 2008
Coulomb branch and the moduli space of instantons Cremonesi, Stefano; Ferlito, Giulia; Hanany, Amihay Journal of High Energy Physics, Vol. 2014, Issue 12 https://doi.org/10.1007/JHEP12(2014)103	journal	December 2014
An SU(2) anomaly Witten, Edward Physics Letters B, Vol. 117, Issue 5 https://doi.org/10.1016/0370-2693(82)90728-6	journal	November 1982
Topological anti-topological fusion in four-dimensional superconformal field theories Papadodimas, Kyriakos Journal of High Energy Physics, Vol. 2010, Issue 8 https://doi.org/10.1007/JHEP08(2010)118	journal	August 2010
Redeeming bad theories Yaakov, Itamar Journal of High Energy Physics, Vol. 2013, Issue 11 https://doi.org/10.1007/JHEP11(2013)189	journal	November 2013
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
More on the $ \mathcal{N}=2 $ superconformal systems of type D p (G) Cecotti, Sergio; Del Zotto, Michele; Giacomelli, Simone Journal of High Energy Physics, Vol. 2013, Issue 4 https://doi.org/10.1007/JHEP04(2013)153	journal	April 2013
Magnetic monopoles as gauge particles? Montonen, C.; Olive, D. Physics Letters B, Vol. 72, Issue 1 https://doi.org/10.1016/0370-2693(77)90076-4	journal	December 1977
On Compact Analytic Surfaces: II Kodaira, K. The Annals of Mathematics, Vol. 77, Issue 3 https://doi.org/10.2307/1970131	journal	May 1963
On conformal field theories with extremal $ \frac{a}{c} $ values Zhiboedov, Alexander Journal of High Energy Physics, Vol. 2014, Issue 4 https://doi.org/10.1007/JHEP04(2014)038	journal	April 2014
Supersymmetry algebras that include topological charges Witten, E.; Olive, D. Physics Letters B, Vol. 78, Issue 1 https://doi.org/10.1016/0370-2693(78)90357-X	journal	September 1978
Minimal distances between SCFTs Buican, Matthew Journal of High Energy Physics, Vol. 2014, Issue 1 https://doi.org/10.1007/JHEP01(2014)155	journal	January 2014
On short and semi-short representations for four-dimensional superconformal symmetry Dolan, F. A.; Osborn, H. Annals of Physics, Vol. 307, Issue 1 https://doi.org/10.1016/S0003-4916(03)00074-5	journal	September 2003
On metric geometry of conformal moduli spaces of four-dimensional superconformal theories Asnin, Vadim Journal of High Energy Physics, Vol. 2010, Issue 9 https://doi.org/10.1007/JHEP09(2010)012	journal	September 2010
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
Mirror symmetry in three-dimensional gauge theories, and D-brane moduli spaces de Boer, Jan; Hori, Kentaro; Ooguri, Hirosi Nuclear Physics B, Vol. 493, Issue 1-2 https://doi.org/10.1016/S0550-3213(97)00115-6	journal	May 1997
Topological charges for N = 4 supersymmetric gauge theories and monopoles of spin 1 Osborn, Hugh Physics Letters B, Vol. 83, Issue 3-4 https://doi.org/10.1016/0370-2693(79)91118-3	journal	May 1979
A holographic computation of the central charges of d = 4, 𝒩 = 2 SCFTs Aharony, Ofer; Tachikawa, Yuji Journal of High Energy Physics, Vol. 2008, Issue 01 https://doi.org/10.1088/1126-6708/2008/01/037	journal	January 2008
S-duality in N = 2 supersymmetric gauge theories Argyres, Philip C.; Seiberg, Nathan Journal of High Energy Physics, Vol. 2007, Issue 12 https://doi.org/10.1088/1126-6708/2007/12/088	journal	December 2007
Coulomb Phase of $N = 2$ Supersymmetric QCD Argyres, Philip C.; Plesser, M. Ronen; Shapere, Alfred D. Physical Review Letters, Vol. 75, Issue 9 https://doi.org/10.1103/PhysRevLett.75.1699	journal	August 1995
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
Compact conformal manifolds Buican, Matthew; Nishinaka, Takahiro Journal of High Energy Physics, Vol. 2015, Issue 1 https://doi.org/10.1007/JHEP01(2015)112	journal	January 2015
Classification of complete $N = 2$ supersymmetric theories in 4 dimensions Cecotti, Sergio; Vafa, Cumrun Surveys in Differential Geometry, Vol. 18, Issue 1 https://doi.org/10.4310/SDG.2013.v18.n1.a2	journal	January 2013

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RG flows with supersymmetry enhancement and geometric engineering Giacomelli, Simone Journal of High Energy Physics, Vol. 2018, Issue 6 https://doi.org/10.1007/jhep06(2018)156	journal	June 2018
Flowing from 16 to 32 supercharges Buican, Matthew; Laczko, Zoltan; Nishinaka, Takahiro Journal of High Energy Physics, Vol. 2018, Issue 10 https://doi.org/10.1007/jhep10(2018)175	journal	October 2018
Conformal manifolds in four dimensions and chiral algebras Buican, Matthew; Nishinaka, Takahiro Journal of Physics A: Mathematical and Theoretical, Vol. 49, Issue 46 https://doi.org/10.1088/1751-8113/49/46/465401	journal	October 2016
Nonunitary Lagrangians and Unitary Non-Lagrangian Conformal Field Theories Buican, Matthew; Laczko, Zoltan Physical Review Letters, Vol. 120, Issue 8 https://doi.org/10.1103/physrevlett.120.081601	journal	February 2018
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
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RG flows with supersymmetry enhancement and geometric engineering Giacomelli, Simone arXiv https://doi.org/10.48550/arxiv.1710.06469	text	January 2017

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