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Modified elliptic gamma functions and 6d superconformal indices

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(E7)-group symmetry.

preprint2013arXivOpen access
V. P. Spiridonov
hep-th
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V. P. Spiridonov

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