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Non-Linear Electrodynamics in Curved Backgrounds | | Gary W. Gibbons
; Koji Hashimoto
; | | Date: |
4 Jul 2000 | | Journal: | JHEP 0009 (2000) 013 | | Subject: | hep-th | | Abstract: | We study non-linear electrodynamics in curved space from the viewpoint of dualities. After establishing the existence of a topological bound for self-dual configurations of Born-Infeld field in curved space, we check that the energy-momentum tensor vanishes. These properties are shown to hold for general duality-invariant non-linear electrodynamics. We give the dimensional reduction of Born-Infeld action to three dimensions in a general curved background admitting a Killing vector. The SO(2) duality symmetry becomes manifest but other symmetries present in flat space are broken, as is U-duality when one couples to gravity. We generalize our arguments on duality to the case of n U(1) gauge fields, and present a new Lagrangian possessing SO(n) X SO(2)_elemag duality symmetry. Other properties of this model such as Legendre duality and enhancement of the symmetry by adding dilaton and axion, are studied. We extend our arguments to include a background b-field in the curved space, and give new examples including almost Kaehler manifolds and Schwarzshild black holes with a $b$-field. | | Source: | arXiv, hep-th/0007019 | | Services: | Forum | Review | PDF | Favorites | |
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