N=2 supersymmetric theories on squashed three-sphere
High Energy Physics - Theory
2013-05-30 v3
Abstract
We investigate a squashing deformation of 3d N=2 supersymmetric theories on three-sphere, which have four supercharges. The deformation preserves SU(2)_L x U(1)_r isometry and all four supersymmetries. We compute the partition function and find non-trivial dependence on the squashing parameter. We also consider the large N limit of a certain class of quiver gauge theories which have free energy of order N^{3/2}, and show that the free energy on the squashed sphere differs from that on round sphere by a certain factor depending only on the squashing parameter.
Cite
@article{arxiv.1109.4734,
title = {N=2 supersymmetric theories on squashed three-sphere},
author = {Yosuke Imamura and Daisuke Yokoyama},
journal= {arXiv preprint arXiv:1109.4734},
year = {2013}
}
Comments
39 pages, 2 figures, v2: minor corrections, references added; v3: minor corrections