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Rahman's biorthogonal functions and superconformal indices

Hjalmar Rosengren (Institutionen för matematiska vetenskaper, matematik)

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.

Denna post skapades 2016-12-16.
CPL Pubid: 246168


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Institutioner (Chalmers)

Institutionen för matematiska vetenskaper, matematik (2005-2016)


Matematisk analys
Matematisk fysik

Chalmers infrastruktur