WZW-Poisson manifolds

Abstract

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 >.

4 pages; v2: a reference added

References in corpus (3)

• Nonassociative Star Product Deformations for D-brane Worldvolumes in Curved Backgrounds
• Topological Open P-Branes
• Deformations of Closed Strings and Topological Open Membranes

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