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 http://resolver.caltech.edu/CaltechAUTHORS:20110111-113638601
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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.
|Additional Information:||© 2010 SISSA. Received: July 21, 2010; accepted: September 15, 2010; published: October 6, 2010.|
|Subject Keywords:||Matrix Models; Brane Dynamics in Gauge Theories; Extended Supersymmetry; Duality in Gauge Field Theories|
|Usage Policy:||No commercial reproduction, distribution, display or performance rights in this work are provided.|
|Deposited By:||Jason Perez|
|Deposited On:||12 Jan 2011 21:22|
|Last Modified:||06 Mar 2013 05:56|
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