Canonical differential geometry of string backgrounds
arXiv:hep-th/0511157 · doi:10.1088/1126-6708/2006/02/059
Abstract
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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Cited by in corpus (19)
- Geometry of physical dispersion relations
- Area metric gravity and accelerating cosmology
- Propagation of light in area metric backgrounds
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- From spin foams to area metric dynamics to gravitons
- Towards effective actions for the continuum limit of spin foams
- Geometry for the accelerating universe
- Yang-Baxter deformations and generalized supergravity -- A short summary
- Quantization of general linear electrodynamics
- Quantum Gravity Phenomenology without Lorentz Invariance Violation: a detailed proposal
- Radiation-dominated area metric cosmology
- Brans-Dicke geometry
- Twisted geometries are area-metric geometries
- Area-metric gravity revisited
- Massive motion in Brans-Dicke geometry and beyond
- Geometry of Area Without Length
- From area metric backgrounds to the cosmological constant and corrections to the Polyakov action
- Quantum Theory, Gravity and Second Order Geometry
- Loop Special Relativity: Kaluza-Klein area metric as a line element for stringy events