On Higgs branch localization of Seiberg–Witten theories on an ellipsoid

Heng-Yu Chen, Tsung-Hsuan Tsai
2016 Progress of Theoretical and Experimental Physics  
In this note, we consider so-called "Higgs Branch Localization" for four dimensional N=2 field theories on 4d ellipsoid. We find a new set of saddle point equations arising from 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 the ellipsoid partition almost factorizes into purely b and 1/b dependent parts, using SQCD as an explicit example. We identify
more » ... 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 physical interpretation for the non-factorizable parts and discuss future directions.
doi:10.1093/ptep/ptv188 fatcat:offgxwwc75awdfj45uyr33iw3m