Hamiltonian loop group actions and T-duality for group manifolds

DOI10.1016/j.geomphys.2005.06.006zbMath1103.37041arXivhep-th/0412289OpenAlexW2060597560MaRDI QIDQ2496671

Yanyan Li

Publication date: 20 July 2006

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0412289

zbMATH Keywords

momentum mapsdressing actionscollective HamiltoniansHamiltonian loop group actionsPoisson-Lie T-duality

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry (37K25) Momentum maps; symplectic reduction (53D20) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Motion of the gyroscope (70E05)

Related Items (9)

Poisson-Lie T-duality as a boundary phenomenon of Chern-Simons theory ⋮ On strong integrability of the dressing cosets ⋮ Dirac approach to constrained submanifolds in a double loop group: From Wess-Zumino-Novikov-Witten to Poisson-Lie σ-model ⋮ Affine Poisson and affine quasi-Poisson T-duality ⋮ Integrable systems and Poisson-Lie \(T\)-duality: a finite dimensional example ⋮ Poisson-Lie \(T\)-duality and non-trivial monodromies ⋮ Dressing cosets and multi-parametric integrable deformations ⋮ Dirac method and symplectic submanifolds in the cotangent bundle of a factorizable Lie group ⋮ Stratified Lie systems: theory and applications

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