\(\mathrm{AdS}_{2}\) holography: mind the cap
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Publication:1728466
DOI10.1007/JHEP12(2018)028zbMATH Open1407.81124arXiv1806.02834WikidataQ112153933 ScholiaQ112153933MaRDI QIDQ1728466
Author name not available (Why is that?)
Publication date: 25 February 2019
Published in: (Search for Journal in Brave)
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.
Full work available at URL: https://arxiv.org/abs/1806.02834
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