1. Star Products and Branes in Poisson-Sigma Models
- Author
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Fernando Falceto and Ivan Calvo
- Subjects
High Energy Physics - Theory ,Physics ,FOS: Physical sciences ,Sigma ,Quantum level ,Statistical and Nonlinear Physics ,Poisson distribution ,High Energy Physics::Theory ,symbols.namesake ,Quantization (physics) ,High Energy Physics - Theory (hep-th) ,Mathematics::K-Theory and Homology ,Star product ,Mathematics::Quantum Algebra ,Mathematics - Quantum Algebra ,FOS: Mathematics ,Brane cosmology ,symbols ,Quantum Algebra (math.QA) ,Brane ,Mathematics::Symplectic Geometry ,Mathematical Physics ,Mathematical physics ,Dirac bracket - Abstract
We prove that non-coisotropic branes in the Poisson-Sigma model are allowed at the quantum level. When the brane is defined by second-class constraints, the perturbative quantization of the model yields the Kontsevich's star product associated to the Dirac bracket on the brane. We also discuss the quantization when both first and second-class constraints are present., Comment: 18 pages; Final version to appear in Commun. Math. Phys
- Published
- 2006
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