q-HYPERGEOMETRIC FUNCTIONS IN THE FORMALISM OF FREE FIELDS

DOI10.1142/S0217732393003275zbMath1021.81632arXivhep-th/9309026MaRDI QIDQ2727575

Luc Vinet, A. Yu. Morozov

Publication date: 31 July 2001

Published in: Modern Physics Letters A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9309026

Mathematics Subject Classification ID

Model quantum field theories (81T10) Connections of basic hypergeometric functions with quantum groups, Chevalley groups, (p)-adic groups, Hecke algebras, and related topics (33D80)

Related Items (9)

FREE-FIELD REPRESENTATION OF GROUP ELEMENT FOR SIMPLE QUANTUM GROUPS ⋮ Free boson realization of the Dunkl intertwining operator in one dimension ⋮ \(q\)-hypergeometric functions quantum algebras and free fields ⋮ On a \(c\)-number quantum \(\tau\)-function ⋮ Chern-Simons theory in the temporal gauge and knot invariants through the universal quantum R-matrix ⋮ Analogue of the identity Log Det = Trace Log for resultants ⋮ On AGT relation in the case of \(U(3)\) ⋮ Multivariate hypergeometric functions as \(\tau\)-functions of Toda lattice and Kadomtsev-Petviashvili equation ⋮ On a complete solution of the quantum Dell system

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