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arXiv · 1806.02834

AdS$_2$ Holography: Mind the Cap

Iosif Bena·Pierre Heidmann·David Turton
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Abstract

AdS$_2$ plays an extremely important role in black-hole physics. We construct several infinite families of supergravity solutions that are asymptotically AdS$_2$ 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 CFT$_1$. 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 CFT$_1$, which would imply that this CFT$_1$ is dynamical rather than topological, and hence cannot have a conformally invariant ground state.

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Iosif Bena, Pierre Heidmann, David Turton. 2019-02-03. AdS$_2$ Holography: Mind the Cap. https://doi.org/10.1007/jhep12(2018)028

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