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⊕∧pT* 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 G2-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.

From current algebras for p-branes to topological M-theory / Bonelli, G.; Zabzine, M.. - In: JOURNAL OF HIGH ENERGY PHYSICS. - ISSN 1029-8479. - 2005:09(2005), pp. 1-20. [10.1088/1126-6708/2005/09/015]

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

Bonelli, G.;
2005-01-01

Abstract

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⊕∧pT* 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 G2-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.
2005
2005
09
1
20
https://doi.org/10.1088/1126-6708/2005/09/015
https://arxiv.org/abs/hep-th/0507051
Bonelli, G.; Zabzine, M.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/12813
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