Integrable string models in terms of chiral invariants of \(SU(n), SO(n), SP(n)\) groups

DOI10.3842/SIGMA.2008.041zbMath1192.81267arXiv0805.0656MaRDI QIDQ935733

Victor D. Gershun

Publication date: 8 August 2008

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0805.0656

zbMATH Keywords

Poisson bracketsintegrable modelsstringCasimir operatorschiral currents

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Quantum field theory on curved space or space-time backgrounds (81T20) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Applications of Lie groups to the sciences; explicit representations (22E70) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Applications of differential geometry to physics (53Z05) Groups and algebras in quantum theory and relations with integrable systems (81R12) Finite-dimensional groups and algebras motivated by physics and their representations (81R05)

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