Canonical differential geometry of string backgrounds

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String backgrounds and D-branes do not possess the structure of Lorentzian manifolds, but that of manifolds with area metric. Area metric geometry is a true generalization of metric geometry, which in particular may accommodate a B-field. While an area metric does not determine a connection, we identify the appropriate differential geometric structure which is of relevance for the minimal surface equation in such a generalized geometry. In particular the notion of a derivative action of areas on areas emerges naturally. Area metric geometry provides new tools in differential geometry, which promise to play a role in the description of gravitational dynamics on D-branes.
20 pages, no figures, improved journal version

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High Energy Physics - Theory, General Relativity and Quantum Cosmology, Differential Geometry

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http://salesiana.dossiersoluciones.com/handle/123456789/182872

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/hep-th/0511157
 http://arxiv.org/abs/hep-th/0511157
 JHEP0602:059,2006
 doi:10.1088/1126-6708/2006/02/059

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arXiv