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arXiv · hep-th/0311213

Poisson sigma model over group manifolds

Francesco Bonechi·Maxim Zabzine
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Abstract

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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Francesco Bonechi, Maxim Zabzine. 2003-12-10. Poisson sigma model over group manifolds. https://doi.org/10.1016/j.geomphys.2004.09.004

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