WZW-Poisson manifolds

Details WZW-Poisson manifolds WZW-Poisson manifolds

2001-04-19

arxiv.org/abs/math/0104189v2

J.Geom.Phys. 43 (2002) 341-344

Mathematics

Symplectic Geometry

4 pages; v2: a reference added

Scientific paper

10.1016/S0393-0440(02)00027-X

We observe that a term of the WZW-type can be added to the Lagrangian of the Poisson Sigma 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 Pi and by a closed three-form H such that [Pi,Pi]_Schouten = < H, Pi^3 >.

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