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Modified Elliptic Gamma Functions and 6d Superconformal Indices

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Abstract

We construct a modified double elliptic gamma function which is well defined when one of the base parameters lies on the unit circle. A model consisting of 6d hypermultiplets coupled to a gauge field theory living on a 4d defect is proposed whose superconformal index uses the double elliptic gamma function and obeys W(E 7)-group symmetry.

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Authors and Affiliations

  1. Bogoliubov Laboratory of Theoretical Physics, JINR, Dubna, Moscow Region, 141980, Russia

    Vyacheslav P. Spiridonov

  2. Max-Planck-Institut für Mathematik, Vivatsgasse 7, 53111, Bonn, Germany

    Vyacheslav P. Spiridonov

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  1. Vyacheslav P. Spiridonov
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Correspondence to Vyacheslav P. Spiridonov.

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Spiridonov, V.P. Modified Elliptic Gamma Functions and 6d Superconformal Indices. Lett Math Phys 104, 397–414 (2014). https://doi.org/10.1007/s11005-013-0678-6

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  • DOI: https://doi.org/10.1007/s11005-013-0678-6

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