Courant-like brackets and loop spaces

Physics – Mathematical Physics

Scientific paper

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20 pages, the version published in JHEP

Scientific paper

10.1007/JHEP03(2011)074

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.

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