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Integrability and black-hole microstate geometries

Integrability and black-hole microstate geometries
Integrability and black-hole microstate geometries
We examine some recently-constructed families of asymptotically-AdS$_3 \times$ S$^3$ supergravity solutions that have the same charges and mass as supersymmetric D1-D5-P black holes, but that cap off smoothly with no horizon. These solutions, known as superstrata, are quite complicated, however we show that, for an infinite family of solutions, the null geodesic problem is completely integrable, due to the existence of a non-trivial conformal Killing tensor that provides a quadratic conservation law for null geodesics. This implies that the massless scalar wave equation is separable. For another infinite family of solutions, we find that there is a non-trivial conformal Killing tensor only when the left-moving angular momentum of the massless scalar is zero. We also show that, for both these families, the metric degrees of freedom have the form they would take if they arose from a consistent truncation on S$^3$ down to a (2+1)-dimensional space-time. We discuss some of the broader consequences of these special properties for the physics of these black-hole microstate geometries.
Black Holes in String Theory , AdS-CFT Correspondence
1029-8479
Bena, Iosif
216ba0a8-1a3a-4f4b-b43d-f964e41953d6
Turton, David
6ce84b30-3cc0-42aa-ace5-f298d4260e9b
Walker, Robert
c83798b1-441f-4d67-a2d3-a236b1f5de4a
Warner, Nicholas P.
ec710058-e4e8-4edc-b521-7205b70e09ff
Bena, Iosif
216ba0a8-1a3a-4f4b-b43d-f964e41953d6
Turton, David
6ce84b30-3cc0-42aa-ace5-f298d4260e9b
Walker, Robert
c83798b1-441f-4d67-a2d3-a236b1f5de4a
Warner, Nicholas P.
ec710058-e4e8-4edc-b521-7205b70e09ff

Bena, Iosif, Turton, David, Walker, Robert and Warner, Nicholas P. (2017) Integrability and black-hole microstate geometries. The Journal of High Energy Physics, 2017 (21). (doi:10.1007/JHEP11(2017)021).

Record type: Article

Abstract

We examine some recently-constructed families of asymptotically-AdS$_3 \times$ S$^3$ supergravity solutions that have the same charges and mass as supersymmetric D1-D5-P black holes, but that cap off smoothly with no horizon. These solutions, known as superstrata, are quite complicated, however we show that, for an infinite family of solutions, the null geodesic problem is completely integrable, due to the existence of a non-trivial conformal Killing tensor that provides a quadratic conservation law for null geodesics. This implies that the massless scalar wave equation is separable. For another infinite family of solutions, we find that there is a non-trivial conformal Killing tensor only when the left-moving angular momentum of the massless scalar is zero. We also show that, for both these families, the metric degrees of freedom have the form they would take if they arose from a consistent truncation on S$^3$ down to a (2+1)-dimensional space-time. We discuss some of the broader consequences of these special properties for the physics of these black-hole microstate geometries.

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Accepted/In Press date: 23 October 2017
e-pub ahead of print date: 7 November 2017
Published date: November 2017
Keywords: Black Holes in String Theory , AdS-CFT Correspondence

Identifiers

Local EPrints ID: 416641
URI: https://eprints.soton.ac.uk/id/eprint/416641
ISSN: 1029-8479
PURE UUID: 1d330fb1-feb9-4058-9c49-46ed72670331
ORCID for David Turton: ORCID iD orcid.org/0000-0002-9902-2116

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Date deposited: 03 Jan 2018 17:31
Last modified: 14 Mar 2019 01:24

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