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AdS2 holography: mind the cap

AdS2 holography: mind the cap
AdS2 holography: mind the cap

AdS2 plays an extremely important role in black-hole physics. We construct several infinite families of supergravity solutions that are asymptotically AdS2 in the UV, and terminate in the IR with a cap that is singular in two dimensions but smooth in ten dimensions. These solutions break conformal invariance, and should correspond to supersymmetric ground states of a holographically dual CFT1. We solve the free massless scalar wave equation on a family of these solutions, finding towers of finite-energy normalizable bound-state excitations. We discuss the intriguing possibility that these excitations correspond to time-dependent excitations of the dual CFT1, which would imply that this CFT1 is dynamical rather than topological, and hence cannot have a conformally invariant ground state.

AdS-CFT Correspondence, Black Holes in String Theory, Conformal Field Theory, Field Theories in Higher Dimensions
1126-6708
1-53
Bena, Iosif
216ba0a8-1a3a-4f4b-b43d-f964e41953d6
Heidmann, Pierre
832b67ce-aa27-4115-a59a-029750f010b2
Turton, David
6ce84b30-3cc0-42aa-ace5-f298d4260e9b
Bena, Iosif
216ba0a8-1a3a-4f4b-b43d-f964e41953d6
Heidmann, Pierre
832b67ce-aa27-4115-a59a-029750f010b2
Turton, David
6ce84b30-3cc0-42aa-ace5-f298d4260e9b

Bena, Iosif, Heidmann, Pierre and Turton, David (2018) AdS2 holography: mind the cap. The Journal of High Energy Physics, 2018 (12), 1-53. (doi:10.1007/JHEP12(2018)028).

Record type: Article

Abstract

AdS2 plays an extremely important role in black-hole physics. We construct several infinite families of supergravity solutions that are asymptotically AdS2 in the UV, and terminate in the IR with a cap that is singular in two dimensions but smooth in ten dimensions. These solutions break conformal invariance, and should correspond to supersymmetric ground states of a holographically dual CFT1. We solve the free massless scalar wave equation on a family of these solutions, finding towers of finite-energy normalizable bound-state excitations. We discuss the intriguing possibility that these excitations correspond to time-dependent excitations of the dual CFT1, which would imply that this CFT1 is dynamical rather than topological, and hence cannot have a conformally invariant ground state.

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Bena 2018 Article AdS2 Holography Mind The Cap - Version of Record
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Accepted/In Press date: 23 November 2018
Published date: 5 December 2018
Keywords: AdS-CFT Correspondence, Black Holes in String Theory, Conformal Field Theory, Field Theories in Higher Dimensions

Identifiers

Local EPrints ID: 428025
URI: https://eprints.soton.ac.uk/id/eprint/428025
ISSN: 1126-6708
PURE UUID: ca57391e-299c-4188-8033-508fb70f65f5
ORCID for David Turton: ORCID iD orcid.org/0000-0002-9902-2116

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Date deposited: 07 Feb 2019 17:30
Last modified: 14 Mar 2019 01:24

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