Superconformal indices of three-dimensional theories related by mirror symmetry
Abstract
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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