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Poisson Sigma Model on the Sphere
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Theoretical Physics.
2009 (English)In: Communications in Mathematical Physics, ISSN 0010-3616, E-ISSN 1432-0916, Vol. 285, no 3, 1033-1063 p.Article in journal (Refereed) Published
Abstract [en]

We evaluate the path integral of the Poisson sigma model on the sphere and study the correlators of quantum observables. We argue that for the path integral to be well-defined the corresponding Poisson structure should be unimodular. The construction of the finite dimensional BV theory is presented and we argue that it is responsible for the leading semiclassical contribution. For a (twisted) generalized Kahler manifold we discuss the gauge fixed action for the Poisson sigma model. Using the localization we prove that for the holomorphic Poisson structure the semiclassical result for the correlators is indeed the full quantum result.

Place, publisher, year, edition, pages
2009. Vol. 285, no 3, 1033-1063 p.
National Category
Physical Sciences
URN: urn:nbn:se:uu:diva-129254DOI: 10.1007/s00220-008-0615-1ISI: 000262410900010OAI: oai:DiVA.org:uu-129254DiVA: diva2:338131
Available from: 2010-08-10 Created: 2010-08-10 Last updated: 2010-08-10Bibliographically approved

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