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Rahman's biorthogonal functions and superconformal indices

Authors Hjalmar Rosengren
Published in ArXiv
Publication year 2016
Published at Department of Mathematical Sciences, Mathematics
Language en
Subject categories Mathematical physics, Mathematical Analysis


We study biorthogonal functions related to basic hypergeometric integrals with coupled continuous and discrete components. Such integrals appear as superconformal indices for three-dimensional quantum field theories and also in the context of solvable lattice models. We obtain explicit biorthogonal systems given by products of two of Rahman's biorthogonal rational 10W9-functions or their degenerate cases. We also give new bilateral extensions of the Jackson and q-Saalschutz summation formulas and new continuous and discrete biorthogonality measures for Rahman's functions.

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