Realizations of affine Weyl group symmetries on the quantum Painlevé equations by fractional calculus
DOI10.1007/s11005-012-0557-6zbMath1260.81118OpenAlexW1994907112MaRDI QIDQ1927642
Publication date: 2 January 2013
Published in: Letters in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11005-012-0557-6
affine Weyl groupshypergeometric integralsKnizhnik-Zamolodchikov equationsquantum Painlevé equations
Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Applications of Lie (super)algebras to physics, etc. (17B81) Groups and algebras in quantum theory and relations with integrable systems (81R12) Moduli and deformations for ordinary differential equations (e.g., Knizhnik-Zamolodchikov equation) (32G34)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Topological theory for Selberg type integral associated with rigid Fuchsian systems
- Quantum Painlevé equations: from continuous to discrete and back
- Arrangements of hyperplanes and Lie algebra homology
- Operator product expansion and factorization in the \(H^+_3\)-\(\text{WZNW}\) model
- Localization with a surface operator, irregular conformal blocks and open topological string
- Hypergeometric solutions to Schrödinger equations for the quantum Painlevé equations
- Quantum groups and quantization of Weyl group symmetries of Painlev\'e systems
- Note on Z2 symmetries of the Knizhnik-Zamolodchikov equation
- QUANTUM PAINLEVÉ SYSTEMS OF TYPE $A_l^{(1)}$
- QUANTUM PAINLEVÉ SYSTEMS OF TYPE $A_{n-1}^{(1)}$ WITH HIGHER DEGREE LAX OPERATORS
- Remarks on the confluent KZ equation for \mathfrak{sl}_2 and quantum Painlevé equations
