
We analyse the problem of boundary conditions for the Poisson-Sigma model and extend previous results showing that non-coisotropic branes are allowed. We discuss the canonical reduction of a Poisson structure to a submanifold, leading to a Poisson algebra that generalizes Dirac's construction. The phase space of the model on the strip is related to the (generalized) Dirac bracket on the branes through a dual pair structure.
18 pages. Version to appear in Lett. Math. Phys
High Energy Physics - Theory, Deformation quantization, star products, FOS: Physical sciences, Model quantum field theories, Poisson geometry, Poisson manifolds; Poisson groupoids and algebroids, topological field theory, High Energy Physics - Theory (hep-th), boundary conditions, Mathematics - Quantum Algebra, FOS: Mathematics, Quantum Algebra (math.QA), Topological field theories in quantum mechanics
High Energy Physics - Theory, Deformation quantization, star products, FOS: Physical sciences, Model quantum field theories, Poisson geometry, Poisson manifolds; Poisson groupoids and algebroids, topological field theory, High Energy Physics - Theory (hep-th), boundary conditions, Mathematics - Quantum Algebra, FOS: Mathematics, Quantum Algebra (math.QA), Topological field theories in quantum mechanics
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