Rahman's biorthogonal functions and superconformal indices
Classical Analysis and ODEs
2016-12-16 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
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 -functions or their degenerate cases. We also give new bilateral extensions of the Jackson and -Saalsch\"utz summation formulas and new continuous and discrete biorthogonality measures for Rahman's functions.
Cite
@article{arxiv.1612.05051,
title = {Rahman's biorthogonal functions and superconformal indices},
author = {Hjalmar Rosengren},
journal= {arXiv preprint arXiv:1612.05051},
year = {2016}
}
Comments
22 pages