Poisson sigma model over group manifolds

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.

30 pages, Latex

References in corpus (3)

• On the integration of Poisson manifolds, Lie algebroids, and coisotropic submanifolds
• Topological Poisson Sigma models on Poisson-Lie groups
• Classical Solutions for Poisson Sigma Models on a Riemann surface

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• Topological and dynamical aspects of Jacobi sigma models
• Boundary coupling of Lie algebroid Poisson sigma models and representations up to homotopy
• Dual branes in topological sigma models over Lie groups. BF-theory and non-factorizable Lie bialgebras
• On Nonlinear Gauge Theories
• Dimensional reduction of Courant sigma models and Lie theory of Poisson groupoids
• Beyond Noether: A Covariant Study of Poisson-Lie Symmetries in Low Dimensional Field Theory