Poisson sigma model over group manifolds

Details Poisson sigma model over group manifolds Poisson sigma model over group manifolds

2003-11-22

arxiv.org/abs/hep-th/0311213v2

J.Geom.Phys. 54 (2005) 173-196

Physics

High Energy Physics

High Energy Physics - Theory

30 pages, Latex

Scientific paper

We study the Poisson sigma model which can be viewed as a topological string theory. Mainly we concentrate our attention on the Poisson sigma model over a group manifold G with a Poisson-Lie structure. In this case the flat connection conditions arise naturally. The boundary conditions (D-branes) are studied in this model. It turns out that the D-branes are labelled by the coisotropic subgroups of G. We give a description of the moduli space of classical solutions over Riemann surfaces both without and with boundaries. Finally we comment briefly on the duality properties of the model.

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