Abstract:
The standard elliptic hypergeometric integrals describe superconformal indices
of four-dimensional supersymmetric field theories and partition functions of
of two-dimensional lattice integrable systems. Recently a generalization of these
functions associated with the simplest lens space has been considered.
In this talk we describe these "rarefied" elliptic hypergeometric functions,
as well as the rarefied hyperbolic integrals related to partition functions
of three-dimensional field theories.
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