AdS$_2$ Holography: Mind the Cap
Abstract
AdS plays an extremely important role in black-hole physics. We construct several infinite families of supergravity solutions that are asymptotically AdS 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. 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, which would imply that this CFT is dynamical rather than topological, and hence cannot have a conformally invariant ground state.
Cite
@article{arxiv.1806.02834,
title = {AdS$_2$ Holography: Mind the Cap},
author = {Iosif Bena and Pierre Heidmann and David Turton},
journal= {arXiv preprint arXiv:1806.02834},
year = {2019}
}
Comments
50 pages, 5 figures, v2: typos corrected, reference added