On Higgs branch localization of Seiberg-Witten theories on an ellipsoid
Journal
Progress of Theoretical and Experimental Physics
Journal Volume
2016
Journal Issue
1
Date Issued
2016
Author(s)
Tsai, T.-H.
Abstract
In this note, we consider so-called "Higgs branch localization" for four-dimensional N = 2 field theories on a 4D ellipsoid. We find a new set of saddle point equations arising from the additional Higgs branch deformation term, whose solutions include both Higgs branch and BPS instanton-vortex mixed configurations. By evaluating the contour integral, we also demonstrate that the ellipsoid partition almost factorizes into purely b-and b-1-dependent parts, using SQCD as an explicit example. We identify various factorized parts with the ellipsoid partition function of two-dimensional N = (2, 2) SQCDA, which is precisely the vortex world volume theory. We also give a physical interpretation for the non-factorizable parts and discuss future directions.
Type
journal article