Dual branes in topological sigma models over Lie groups. BF-theory and non-factorizable Lie bialgebras
نویسندگان
چکیده
We continue the study of the Poisson-Sigma model over Poisson-Lie groups. Firstly, we solve the models with targets G and G∗ (the dual group of the Poisson-Lie group G) corresponding to a triangular r-matrix and show that the model over G∗ is always equivalent to BF-theory. Then, given an arbitrary r-matrix, we address the problem of finding D-branes preserving the duality between the models. We identify a broad class of dual branes which are subgroups of G and G∗, but not necessarily Poisson-Lie subgroups. In particular, they are not coisotropic submanifolds in the general case and what is more, we show that by means of duality transformations one can go from coisotropic to noncoisotropic branes. This fact makes clear that non-coisotropic branes are natural boundary conditions for the Poisson-Sigma model. ∗Work supported by MEC (Spain), grant FPA2003-02948. I. C. is supported by MEC (Spain), grant FPU.
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