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Article Dans Une Revue Journal of High Energy Physics Année : 2008

5D Black Holes and Non-linear Sigma Models

Résumé

Stationary solutions of 5D supergravity with U(1) isometry can be efficiently studied by dimensional reduction to three dimensions, where they reduce to solutions to a locally supersymmetric non-linear sigma model. We generalize this procedure to 5D gauged supergravity, and identify the corresponding gauging in 3D. We pay particular attention to the case where the Killing spinor is non constant along the fibration, which results, even for ungauged supergravity in 5D, in an additional gauging in 3D, without introducing any extra potential. We further study $SU(2)\times U(1)$ symmetric solutions, which correspond to geodesic motion on the sigma model (with potential in the gauged case). We identify and study the algebra of BPS constraints relevant for the Breckenridge-Myers-Peet-Vafa black hole, the Gutowski-Reall black hole and several other BPS solutions, and obtain the corresponding radial wave functions in the semi-classical approximation.

Dates et versions

hal-00252991 , version 1 (13-02-2008)

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Micha Berkooz, Boris Pioline. 5D Black Holes and Non-linear Sigma Models. Journal of High Energy Physics, 2008, pp.JHEP05(2008)045. ⟨hal-00252991⟩
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