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arxiv: 1109.4734 · v3 · pith:JDRFHTCOnew · submitted 2011-09-22 · ✦ hep-th

N=2 supersymmetric theories on squashed three-sphere

classification ✦ hep-th
keywords squashingtheoriescertaindeformationenergyfourfreeparameter
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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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