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J. High Energy Phys. 2011, no. 6, 008, 19 pp.,
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Christian Krattenthaler, Vyacheslav P. Spiridonov and
G. S. Vartanov
Superconformal indices of
three-dimensional mirror symmetry theories
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 mirror symmetry.
The proofs are based on well-known identities
in the theory of q-special functions. We also suggest a general
index formula taking into account the U(1)J
global symmetry present for abelian theories.
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