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AdS2 holography: mind the cap

Authors
  • Bena, Iosif1
  • Heidmann, Pierre1
  • Turton, David2
  • 1 Université Paris Saclay, CEA, CNRS, Institut de Physique Théorique, Gif sur Yvette, F-91191, France , Gif sur Yvette (France)
  • 2 University of Southampton, Mathematical Sciences and STAG Research Centre, Highfield, Southampton, SO17 1BJ, U.K. , Southampton (United Kingdom)
Type
Published Article
Journal
Journal of High Energy Physics
Publisher
Springer-Verlag
Publication Date
Dec 05, 2018
Volume
2018
Issue
12
Identifiers
DOI: 10.1007/JHEP12(2018)028
Source
Springer Nature
Keywords
License
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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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