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WZW–Poisson manifolds |
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| Authors: | C Klim ík T Strobl |
| Institution: | a Institute de Mathématiques de Luminy, 163 Avenue de Luminy, 13288, Marseille, France b Institut für Theoretische Physik, Friedrich Schiller Universität, Max-Wien-Platz 1, D-07743, Jena, Germany |
| Abstract: | We observe that a term of the WZW-type can be added to the Lagrangian of the Poisson σ-model in such a way that the algebra of the first class constraints remains closed. This leads to a natural generalization of the concept of Poisson geometry. The resulting “WZW–Poisson” manifold M is characterized by a bivector Π and by a closed three-form H such that 1/2Π,Π]Schouten= H,Π ΠΠ . |
| Keywords: | Twisted Poisson manifolds Dirac structures Controlled nonassociativity |
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