Branes in Poisson sigma models

Journal Article · Wed Jul 28 00:00:00 EDT 2010 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.3479323· OSTI ID:21410744

Falceto, Fernando ^[1]

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1. Instituto de Biocomputacion y Fisica de Sistemas Complejos and Depto. Fisica Teorica Universidad de Zaragoza (Spain)

In this review we discuss possible boundary conditions (branes) for the Poisson sigma model. We show how to carry out the perturbative quantization in the presence of a general pre-Poisson brane and how this is related to the deformation quantization of Poisson structures. We conclude with an open problem: the perturbative quantization of the system when the boundary has several connected components and we use a different pre-Poisson brane in every component.

• OSTI ID: 21410744
• Journal Information: AIP Conference Proceedings, Journal Name: AIP Conference Proceedings Journal Issue: 1 Vol. 1260; ISSN APCPCS; ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AXIOMATIC FIELD THEORY
BOSON-EXCHANGE MODELS
BOUNDARY CONDITIONS
BRANES
DIFFERENTIAL EQUATIONS
EQUATIONS
FIELD THEORIES
LIE GROUPS
MATHEMATICAL MODELS
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE MODELS
PERIPHERAL MODELS
PERTURBATION THEORY
POISSON EQUATION
QUANTIZATION
QUANTUM FIELD THEORY
SIGMA MODEL
SYMMETRY GROUPS