Institut de Physique Théorique
Direction de la Recherche Fondamentale  -  Saclay
UMR 3681 - INP
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Dimanche 20 août 2017

Publication : t17/134

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Integrability and Black Hole Microstate Geometries

Bena I. (CEA, IPhT (Institut de Physique Théorique), F-91191 Gif-sur-Yvette, France)
Turton D. (CEA, IPhT (Institut de Physique Théorique), F-91191 Gif-sur-Yvette, France)
Walker, Robert (Department of Physics and Astronomy, University of Southern California)
Warner N.P. (Dept of Physics and Astronomy, University of Southern California (USC), Los Angeles, CA 90089, USA)
Abstract:
We examine the geometries of some recently-constructed asymptotically-AdS$_3 times bbS^3$ solutions that have the same charges and mass as BTZ black holes but that cap off smoothly with no horizon. These solutions, known as superstrata, are very complicated, but we show that for two infinite families of solutions the metric degrees of freedom can be re-cast as part of what might become consistent truncations on $bbS^3$ down to a $(2+1)$-dimensional space-time. We also show that, for one of these families of solutions, the massless scalar wave equation is separable and there is a non-trivial conformal Killing tensor that provides a quadratic conservation law for null geodesics, making the geodesic problem completely integrable. The other family of solutions has the same separability and conformal Killing tensor only when the left-moving angular momentum of the probe scalar is zero. We discuss some of the broader consequences of these special properties when it comes to probing, or scattering from, these families of superstrata and the black-hole microstates that they describe.
Année de publication : 2017
Langue : Anglais


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