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Letters in Mathematical Physics
Article . 2004 . Peer-reviewed
License: Springer TDM
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zbMATH Open
Article . 2004
Data sources: zbMATH Open
https://dx.doi.org/10.48550/ar...
Article . 2004
License: arXiv Non-Exclusive Distribution
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Poisson Reduction and Branes in Poisson?Sigma Models

Poisson reduction and branes in Poisson-sigma models
Authors: Calvo, Iván; Falceto, Fernando;

Poisson Reduction and Branes in Poisson?Sigma Models

Abstract

We analyse the problem of boundary conditions for the Poisson-Sigma model and extend previous results showing that non-coisotropic branes are allowed. We discuss the canonical reduction of a Poisson structure to a submanifold, leading to a Poisson algebra that generalizes Dirac's construction. The phase space of the model on the strip is related to the (generalized) Dirac bracket on the branes through a dual pair structure.

18 pages. Version to appear in Lett. Math. Phys

Related Organizations
Keywords

High Energy Physics - Theory, Deformation quantization, star products, FOS: Physical sciences, Model quantum field theories, Poisson geometry, Poisson manifolds; Poisson groupoids and algebroids, topological field theory, High Energy Physics - Theory (hep-th), boundary conditions, Mathematics - Quantum Algebra, FOS: Mathematics, Quantum Algebra (math.QA), Topological field theories in quantum mechanics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
10
Average
Top 10%
Average
Green
bronze