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Nonperturbative tests of three-dimensional dualities

Kapustin, Anton and Willett, Brian and Yaakov, Itamar (2010) Nonperturbative tests of three-dimensional dualities. Journal of High Energy Physics, 2010 (10). Art. No. 013. ISSN 1126-6708. doi:10.1007/JHEP10(2010)013.

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We test several conjectural dualities between strongly coupled superconformal field theories in three dimensions by computing their exact partition functions on a three sphere as a function of Fayet-Iliopoulos and mass parameters. The calculation is carried out using localization of the path integral and the matrix model previously derived for superconformal N = 2 gauge theories. We verify that the partition functions of quiver theories related by mirror symmetry agree provided the mass parameters and the Fayet-Iliopoulos parameters are exchanged, as predicted. We carry out a similar calculation for the mirror of N = 8 super-Yang-Mills theory and show that its partition function agrees with that of the ABJM theory at unit Chern-Simons level. This provides a nonperturbative test of the conjectural equivalence of the two theories in the conformal limit.

Item Type:Article
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URLURL TypeDescription Paper
Kapustin, Anton0000-0003-3903-5158
Additional Information:© 2010 SISSA. Received: July 21, 2010; accepted: September 15, 2010; published: October 6, 2010.
Group:Caltech Theory
Subject Keywords:Matrix Models; Brane Dynamics in Gauge Theories; Extended Supersymmetry; Duality in Gauge Field Theories
Issue or Number:10
Record Number:CaltechAUTHORS:20110111-113638601
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:21699
Deposited On:12 Jan 2011 21:22
Last Modified:09 Nov 2021 15:59

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