This material has been published in J. High Energy Phys. 2011, no. 6, 008, 19 pp., the only definitive repository of the content that has been certified and accepted after peer review. Copyright and all rights therein are retained by Springer-Verlag. This material may not be copied or reposted without explicit permission.

Christian Krattenthaler, Vyacheslav P. Spiridonov and G. S. Vartanov

Superconformal indices of three-dimensional mirror symmetry theories

(17 pages)

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 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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