MONODROMY OF SOLUTIONS OF THE ELLIPTIC QUANTUM KNIZHNIK–ZAMOLODCHIKOV–BERNARD DIFFERENCE EQUATIONS
From MaRDI portal
Publication:2728483
DOI10.1142/S0129167X99000410zbMath1038.32500arXivq-alg/9705017WikidataQ56593984 ScholiaQ56593984MaRDI QIDQ2728483
Alexander Varchenko, Vitaly O. Tarasov, Giovanni Felder
Publication date: 1 August 2001
Published in: International Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/q-alg/9705017
Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Difference operators (39A70) Moduli and deformations for ordinary differential equations (e.g., Knizhnik-Zamolodchikov equation) (32G34)
Related Items
Traces of intertwiners for quantum affine algebras and difference equations (after Etingof-Schiffmann-Varchenko), Traces of intertwiners for quantum affine \(\mathfrak{sl}_2\) and Felder-Varchenko functions, Shapovalov elements of classical and quantum groups, Elliptic and \(K\)-theoretic stable envelopes and Newton polytopes, Elliptic stable envelopes, 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, Three-dimensional mirror self-symmetry of the cotangent bundle of the full flag variety, An Izergin-Korepin-type identity for the 8VSOS model, with applications to alternating sign matrices, Traces of intertwiners for quantum groups and difference equations. I, Orthogonality and the qKZB-heat equation for traces of \(U_q({\mathfrak g})\)-intertwiners, \(q\)-deformed KZB heat equation: completeness, modular properties and \(\text{SL}(3,\mathbb Z)\)., Connection problems for quantum affine KZ equations and integrable lattice models
Cites Work
- On representations of the elliptic quantum group \(E_ \tau,\eta(sl_ 2)\)
- Monodromy representations of braid groups and Yang-Baxter equations
- Quantum affine algebras and holonomic difference equations
- Jackson-type integrals, Bethe vectors, and solutions to a difference analog of the Knizhnik-Zamolodchikov system
- Quantized Knizhnik-Zamolodchikov equations, quantum Yang-Baxter equation, and difference equations for \(q\)-hypergeometric functions
- Algebraic Bethe ansatz for the elliptic quantum group \(E_{\tau,\eta} (sl_2\))
