N=2 supersymmetric theories on squashed three-sphere

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 nontrivial 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.