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arXiv · 1003.5694

Nonperturbative Tests of Three-Dimensional Dualities

Anton Kapustin·Brian Willett·Itamar Yaakov
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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.

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Anton Kapustin, Brian Willett, Itamar Yaakov. 2010-07-15. Nonperturbative Tests of Three-Dimensional Dualities. https://doi.org/10.1007/jhep10(2010)013

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