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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ArXiv ePrint: 1103.4075
Research partially supported by the Austrian Science Foundation FWF, grants Z130-N13 and S9607N13, the latter in the framework of the National Research Network “Analytic Combinatorics and Probabilistic Number Theory”. (C. Krattenthaler)
Research partially supported by RFBR (grant no. 09-01-00271). (V.P. Spiridonov)
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Krattenthaler, C., Spiridonov, V.P. & Vartanov, G.S. Superconformal indices of three-dimensional theories related by mirror symmetry. J. High Energ. Phys. 2011, 8 (2011). https://doi.org/10.1007/JHEP06(2011)008
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DOI: https://doi.org/10.1007/JHEP06(2011)008