\(N\)-point spherical functions and asymptotic boundary KZB equations
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Publication:2144527
DOI10.1007/s00222-022-01102-3zbMath1504.22018arXiv2002.02251OpenAlexW3005470073MaRDI QIDQ2144527
Jasper V. Stokman, Nicolai Reshetikhin
Publication date: 14 June 2022
Published in: Inventiones Mathematicae (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2002.02251
spherical functionsLie groupVerma modulesCalogero-Moser systemsEisenstein integralsHarish-Chandra seriesk-matricesKnizhnik-Zamolodchikov-Bernard operatorr-matricesWess-Zumino-Witten conformal field theory
Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Semisimple Lie groups and their representations (22E46) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Applications of Lie algebras and superalgebras to integrable systems (17B80)
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Pseudo-symmetric pairs for Kac-Moody algebras ⋮ Asymptotic boundary KZB operators and quantum Calogero-Moser spin chains ⋮ Spinning partial waves for scattering amplitudes in \(d\) dimensions ⋮ Matrix spherical functions for \((\text{SU}(n+m),\text{S}(\text{U}(n)\times\text{U}(m)))\): two specific classes ⋮ Universal spinning Casimir equations and their solutions ⋮ Harmonic analysis in \(d\)-dimensional superconformal field theory ⋮ Quantum groups for restricted SOS models ⋮ Gaudin models and multipoint conformal blocks. III: Comb channel coordinates and OPE factorisation
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