N=2 supersymmetric theories on squashed three-sphere

Details N=2 supersymmetric theories on squashed three-sphere N=2 supersymmetric theories on squashed three-sphere

2011-09-22

arxiv.org/abs/1109.4734v3

Physics

High Energy Physics

High Energy Physics - Theory

39 pages, 2 figures, v2: minor corrections, references added; v3: minor corrections

Scientific paper

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.

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