The \(q\)-deformed Knizhnik-Zamolodchikov-Bernard heat equation.
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Publication:5953662
DOI10.1007/S002200100487zbMath1057.32006arXivmath/9809139OpenAlexW2390676959MaRDI QIDQ5953662
Alexander Varchenko, Giovanni Felder
Publication date: 27 January 2002
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/9809139
Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Difference equations, scaling ((q)-differences) (39A13) Moduli and deformations for ordinary differential equations (e.g., Knizhnik-Zamolodchikov equation) (32G34)
Related Items (7)
Traces of intertwiners for quantum affine \(\mathfrak{sl}_2\) and Felder-Varchenko functions ⋮ Basic properties of non-stationary Ruijsenaars functions ⋮ Extended trigonometric Cherednik algebras and nonstationary Schrödinger equations with delta-potentials ⋮ Affine Macdonald conjectures and special values of Felder-Varchenko functions ⋮ \((q, t)\)-KZ equations for quantum toroidal algebra and Nekrasov partition functions on ALE spaces ⋮ Orthogonality and the qKZB-heat equation for traces of \(U_q({\mathfrak g})\)-intertwiners ⋮ \(q\)-deformed KZB heat equation: completeness, modular properties and \(\text{SL}(3,\mathbb Z)\).
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