paper

Courant-like brackets and loop spaces

arXiv:0903.3215 · doi:10.1007/JHEP03(2011)074

Abstract

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.

20 pages, the version published in JHEP

References in corpus (2)

Cited by in corpus (13)