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High Energy Physics - Theory, hep-th
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.