Nonperturbative tests of three-dimensional dualities

Kapustin, A., Willett, B. and Yaako, I. (2010) Nonperturbative tests of three-dimensional dualities. Journal of High Energy Physics, 2010, [13]. (doi:10.1007/JHEP10(2010)013).

Record type: Article

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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