Courant-like brackets and loop spaces
Mathematical Physics
2011-03-21 v3 High Energy Physics - Theory
math.MP
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.
Keywords
Cite
@article{arxiv.0903.3215,
title = {Courant-like brackets and loop spaces},
author = {Joel Ekstrand and Maxim Zabzine},
journal= {arXiv preprint arXiv:0903.3215},
year = {2011}
}
Comments
20 pages, the version published in JHEP