Quantization of integrable systems with spectral parameter on a Riemann surface

DOI10.1134/S1064562420060186zbMath1502.37062MaRDI QIDQ2243829

Oleg K. Sheinman

Publication date: 11 November 2021

Published in: Doklady Mathematics (Search for Journal in Brave)

zbMATH Keywords

conformal field theoryquantizationintegrable systemKnizhnik-Zamolodchikov connection

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Quantization in field theory; cohomological methods (81T70) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Relationships between algebraic curves and integrable systems (14H70) Deformation quantization, star products (53D55) Relations of finite-dimensional Hamiltonian and Lagrangian systems with Lie algebras and other algebraic structures (37J37)

Cites Work

• Unnamed Item
• Current algebras on Riemann surfaces. New results and applications.
• Lax operator algebras
• Virasoro-type algebras, Riemann surfaces and strings in Minkowski space
• Vector bundles and Lax equations on algebraic curves
• Spectral curves of the hyperelliptic Hitchin systems
• Krichever-Novikov type algebras. Theory and applications
• Lax operator algebras and integrable systems
• Knizhnik-Zamolodchikov equations for positive genus and Krichever-Novikov algebras

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