2011/09/30 by Yosuke Imamura, Daisuke Yokoyama · 1 citation
Physics and Astronomy · #hep-th
paper · pdf · doi:10.1103/physrevd.85.025015
39 pages, 2 figures, v2: minor corrections, references added; v3: minor corrections
arxiv created 2012/01/27 · arxiv updated 2013/05/29
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 N3/2, 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.