WZWPoisson manifolds
Abstract
We observe that a term of the WZWtype can be added to the Lagrangian of the Poisson σmodel 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 "WZWPoisson" manifold M is characterized by a bivector Π and by a closed threeform H such that 1/2[ Π, Π] _{Schouten}=< H, Π⊗ Π⊗ Π>.
 Publication:

Journal of Geometry and Physics
 Pub Date:
 October 2002
 DOI:
 10.1016/S03930440(02)00027X
 arXiv:
 arXiv:math/0104189
 Bibcode:
 2002JGP....43..341K
 Keywords:

 Mathematics  Symplectic Geometry;
 High Energy Physics  Theory;
 Mathematical Physics
 EPrint:
 4 pages