WZW-Poisson manifolds
Symplectic Geometry
2009-11-07 v2 High Energy Physics - Theory
Mathematical Physics
math.MP
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 >.
Keywords
Cite
@article{arxiv.math/0104189,
title = {WZW-Poisson manifolds},
author = {Ctirad Klimcik and Thomas Strobl},
journal= {arXiv preprint arXiv:math/0104189},
year = {2009}
}
Comments
4 pages; v2: a reference added