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Dualities for 3d theories with tensor matter

Kapustin, Anton and Kim, Hyungchul and Park, Jaemo (2011) Dualities for 3d theories with tensor matter. Journal of High Energy Physics, 2011 (12). p. 87. ISSN 1126-6708. doi:10.1007/JHEP12(2011)087.

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We study dualities for N = 2 3d Chern-Simons matter theories with gauge groups U/Sp/O, matter in the two-index tensor representations (adjoint/symmetric/antisymmetric) in addition to the fundamental representation, and a superpotential. These dualities are analogous to Kutasov-Schwimmer-Seiberg dualities in 4d. We test them by computing the superconformal index and the partition function on S^3 for many dual pairs and find perfect agreement. In some cases we find a simple dual description for theories with tensor matter and no superpotential, thereby generalizing the “Duality Appetizer” of Jafferis and Yin to an infinite class of theories. We also investigate nonperturbative truncation of the chiral ring proposed in the context of 4d dualities.

Item Type:Article
Related URLs:
URLURL TypeDescription Paper
Kapustin, Anton0000-0003-3903-5158
Additional Information:© 2011 SISSA. Published for SISSA by Springer. Received: October 20, 2011; accepted: December 7, 2011; published: December 23, 2011. A.K. is supported in part by the DOE grant DE-FG02-92ER40701. J.P. is supported by the KOSEF Grant R01-2008-000-20370-0, the National Research Foundation of Korea (NRF) Grants No. 2009-0085995 and 2005-0049409 through the Center for Quantum Spacetime (CQUeST) of Sogang University. J.P. also appreciates APCTP for its stimulating environment for research. A.K. and J.P. acknowledge Simons Summer Workshop on Mathematics and Physics 2011 for hospitality while the current work was initiated.
Group:Caltech Theory
Funding AgencyGrant Number
Department of Energy (DOE)DE-FG02-92ER40701
Korea Science and Engineering Foundation (KOSEF)R01-2008-000-20370-0
National Research Foundation of Korea2009-0085995
National Research Foundation of Korea2005-0049409
Subject Keywords:Field Theories in Lower Dimensions; Duality in Gauge Field Theories; Chern-Simons Theories
Issue or Number:12
Record Number:CaltechAUTHORS:20120217-154342890
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:29377
Deposited On:21 Feb 2012 15:36
Last Modified:09 Nov 2021 17:06

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