Permanent URL to this publication: http://dx.doi.org/10.5167/uzh-22009
Cattaneo, A S; Felder, G (2001). Poisson sigma models and deformation quantization. Modern Physics Letters A, 16(4-6):179-189.
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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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|Other titles:||Euroconference on Brane New World and Noncommutative Geometry (Torino, 2000)|
|Item Type:||Journal Article, refereed, original work|
|Communities & Collections:||07 Faculty of Science > Institute of Mathematics|
|Dewey Decimal Classification:||510 Mathematics|
|Deposited On:||27 Jan 2010 12:19|
|Last Modified:||27 Nov 2013 23:50|
|Publisher:||World Scientific Publishing|
|Additional Information:||Electronic version of an article published as [Modern Phys. Lett. A; vol. 16 (2001), no. 4-6, p. 179-189]© 2001 copyright World Scientific Publishing Company http://www.worldscinet.com/mpla/mpla.shtml|
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