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Courant-like brackets and loop spaces
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DOI：10.1007/JHEP03(2011)074.png)
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Abstract
En 中文
We study the algebra of local functionals equipped with a Poisson bracket. We discuss the underlying algebraic structures related to a version of the Courant-Dorfman algebra. As a main illustration, we consider the functionals over the cotangent bundle of the superloop space over a smooth manifold. We present a number of examples of the Courant-like brackets arising from this analysis.
Keywords:
Differential and Algebraic Geometry
Sigma Models
Field Theories in Lower Dimensions
Superspaces
Journal
IF:
5.5
Papers:
3.9W
Citations:
13.7W