Integral and theta formulae for solutions of \(sl_N\) Knizhnik-Zamolodchikov equation at level zero

DOI10.2977/prims/1195144514zbMath0959.32028arXivmath/9803086OpenAlexW2019173616MaRDI QIDQ1974500

Atsushi Nakayashiki

Publication date: 2 May 2001

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9803086

zbMATH Keywords

integral formulaform factorsRiemann theta functionsKnizhnik-Zamolodchikov equationsquasi-classical limitchiral Szegö kernel

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Model quantum field theories (81T10) Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Applications of Lie (super)algebras to physics, etc. (17B81) Moduli and deformations for ordinary differential equations (e.g., Knizhnik-Zamolodchikov equation) (32G34)

Related Items (2)

Unnamed Item ⋮ Generalized Weierstrass kernels on the intersection of two complex hypersurfaces

Cites Work

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• An application of Aomoto-Gelfand hypergeometric functions to the SU(n) Knizhnik-Zamolodchikov equation
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• Quantum affine algebras and holonomic difference equations
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• Theta functions on Riemann surfaces
• Counting the local fields in sine-Gordon theory
• Hypergeometric solutions of Knizhnik-Zamolodchikov equations
• DYNAMICAL SYMMETRIES OF MASSIVE INTEGRABLE MODELS 1: FORM FACTOR BOOTSTRAP EQUATIONS AS A SPECIAL CASE OF DEFORMED KNIZHNIK-ZAMOLODCHIKOV EQUATIONS

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