Poisson reduction and branes in Poisson-Sigma models

Details Poisson reduction and branes in Poisson-Sigma models Poisson reduction and branes in Poisson-Sigma models

2004-05-20

arxiv.org/abs/hep-th/0405176v2

Lett.Math.Phys. 70 (2004) 231-247

Physics

High Energy Physics

High Energy Physics - Theory

18 pages. Version to appear in Lett. Math. Phys

Scientific paper

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.

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