From current algebras for p-branes to topological M-theory

Details From current algebras for p-branes to topological M-theory From current algebras for p-branes to topological M-theory

2005-07-06

arxiv.org/abs/hep-th/0507051v2

JHEP 0509 (2005) 015

Physics

High Energy Physics

High Energy Physics - Theory

21 pages, the final version to appear in JHEP

Scientific paper

10.1088/1126-6708/2005/09/015

In this note we generalize a result by Alekseev and Strobl for the case of $p$-branes. We show that there is a relation between anomalous free current algebras and "isotropic" involutive subbundles of $T\oplus \wedge^p T^*$ with the Vinogradov bracket, that is a generalization of the Courant bracket. As an application of this construction we go through some interesting examples: topological strings on symplectic manifolds, topological membrane on $G_2$-manifolds and topological 3-brane on $Spin(7)$ manifolds. We show that these peculiar topological theories are related to the physical (i.e., Nambu-Goto) brane theories in a specific way. These topological brane theories are proposed as microscopic description of topological M/F-theories.

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