1211.2703 (V. P. Spiridonov)
V. P. Spiridonov
We construct a modified elliptic gamma function of order two which is well defined when one of the base parameters lies on the unit circle, e.g. |q|=1. Possible applications of this function in the context of 6d superconformal indices is discussed. A 6d/4d boundary theory with SP(2N) gauge group is proposed whose superconformal index is W(E7)-group invariant. For N=1 this symmetry reduces to the symmetry transformation for an elliptic analogue of the Euler-Gauss hypergeometric function. A 5d/3d boundary field theory partition function with the same symmetry is constructed as well.
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http://arxiv.org/abs/1211.2703
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