The chiral WZNW phase space as a quasi-Poisson space
نویسندگان
چکیده
منابع مشابه
The chiral WZNW phase space as a quasi-Poisson space
It is explained that the chiral WZNW phase space is a quasi-Poisson space with respect to the ‘canonical’ Lie quasi-bialgebra which is the classical limit of Drinfeld’s quasi-Hopf deformation of the universal enveloping algebra. This exemplifies the notion of quasi-Poisson-Lie symmetry introduced recently by Alekseev and Kosmann-Schwarzbach. PACS codes: 11.25.Hf, 11.10.Kk, 11.30.Na keywords: WZ...
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The precise relationship between the arbitrary monodromy dependent 2-form appearing in the chiral WZNW symplectic form and the ‘exchange r-matrix’ that governs the corresponding Poisson brackets is established. Generalizing earlier results related to diagonal monodromy, the exchange r-matrices are shown to satisfy a new dynamical generalization of the classical modified Yang-Baxter equation, wh...
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The gauge action of the Lie groupG on the chiral WZNW phase spaceMǦ of quasiperiodic fields with Ǧ-valued monodromy, where Ǧ ⊂ G is an open submanifold, is known to be a Poisson-Lie (PL) action with respect to any coboundary PL structure on G, if the Poisson bracket on MǦ is defined by a suitable monodromy dependent exchange r-matrix. We describe the momentum map for these symmetries when G is ...
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ژورنال
عنوان ژورنال: Physics Letters A
سال: 2000
ISSN: 0375-9601
DOI: 10.1016/s0375-9601(00)00696-4