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arxiv: 1103.4075 · v2 · pith:FH66BU4Inew · submitted 2011-03-21 · ✦ hep-th

Superconformal indices of three-dimensional theories related by mirror symmetry

classification ✦ hep-th
keywords theoriesindicessuperconformalsymmetryformulamirrorrelatedthree-dimensional
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Recently, Kim and Imamura and Yokoyama derived an exact formula for superconformal indices in three-dimensional field theories. Using their results, we prove analytically the equality of superconformal indices in some U(1)-gauge group theories related by the mirror symmetry. The proofs are based on the well known identities of the theory of $q$-special functions. We also suggest the general index formula taking into account the $U(1)_J$ global symmetry present for abelian theories.

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