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. https://resolver.caltech.edu/CaltechAUTHORS:20110111-113638601
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Abstract
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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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 | ||||||||||||
DOI: | 10.1007/JHEP10(2010)013 | ||||||||||||
Record Number: | CaltechAUTHORS:20110111-113638601 | ||||||||||||
Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20110111-113638601 | ||||||||||||
Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||||||
ID Code: | 21699 | ||||||||||||
Collection: | CaltechAUTHORS | ||||||||||||
Deposited By: | INVALID USER | ||||||||||||
Deposited On: | 12 Jan 2011 21:22 | ||||||||||||
Last Modified: | 09 Nov 2021 15:59 |
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