Superconformal indices of three-dimensional theories related by mirror symmetry

2011/03/31 by C. Krattenthaler, V. P. Spiridonov, G. S. Vartanov · 1 citation
Physics and Astronomy · #hep-th

paper · pdf · doi:10.1007/jhep06(2011)008

published as JHEP 1106:008,2011 · 17 pages; minor changes

arxiv created 2011/06/08 · arxiv updated 2011/06/27

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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