ON MOMENT MAPS ASSOCIATED TO A TWISTED HEISENBERG DOUBLE

DOI10.1142/S0129055X06002796zbMath1113.81115arXivmath-ph/0602048OpenAlexW2166442557MaRDI QIDQ3422241

Ctirad Klimčík

Publication date: 9 February 2007

Published in: Reviews in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0602048

zbMATH Keywords

Poisson-Lie symmetrytwisted Heisenberg doublegauged WZW model

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Applications of Lie groups to the sciences; explicit representations (22E70) Spinor and twistor methods applied to problems in quantum theory (81R25)

Related Items

Poisson-Lie analogues of spin Sutherland models, Poisson reductions of master integrable systems on doubles of compact Lie groups, Poisson-Lie interpretation of trigonometric Ruijsenaars duality, Trigonometric real form of the spin RS model of Krichever and Zabrodin, Reduction of a bi-Hamiltonian hierarchy on \(T^\ast\text{U}(n)\) to spin Ruijsenaars-Sutherland models, Poisson-Lie generalization of the Kazhdan-Kostant-Sternberg reduction

Cites Work

• Non-Abelian bosonization in two dimensions
• On holomorphic factorization of WZW and coset models
• Symplectic structures associated to Lie-Poisson groups
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• Boundary WZW, \(G/H\), \(G/G\) and CS theories
• Exact four-dimensional string solutions and Toda-like sigma models from null-gauged WZNW theories
• Classical origin of quantum group symmetries in Wess-Zumino-Witten conformal field theory
• A convexity theorem for Poisson actions of compact Lie groups
• QUASITRIANGULAR WZW MODEL