Poisson sigma models and deformation quantization

Details Poisson sigma models and deformation quantization Poisson sigma models and deformation quantization

2001-02-28

arxiv.org/abs/hep-th/0102208v1

Mod.Phys.Lett. A16 (2001) 179-190

Physics

High Energy Physics

High Energy Physics - Theory

11 pages

Scientific paper

10.1142/S0217732301003255

This is a review aimed at a physics audience on the relation between Poisson sigma models on surfaces with boundary and deformation quantization. These models are topological open string theories. In the classical Hamiltonian approach, we describe the reduced phase space and its structures (symplectic groupoid), explaining in particular the classical origin of the non-commutativity of the string end-point coordinates. We also review the perturbative Lagrangian approach and its connection with Kontsevich's star product. Finally we comment on the relation between the two approaches.

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