AdS\(_3\) Holography at Dimension Two

Holography can provide a microscopic interpretation of a gravitational solution as corresponding to a particular CFT state: the asymptotic expansion in gravity encodes the expectation values of operators in the dual CFT state. Such a correspondence is particularly valuable in black hole physics. We...

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Bibliographic Details
Published in:arXiv.org 2019-05
Main Authors: Giusto, Stefano, Rawash, Sami, Turton, David
Format: Article
Language:English
Subjects:
Asymptotic series
Black holes
Holography
Operators
Supergravity
Supersymmetry
Online Access:Get full text
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Summary:Holography can provide a microscopic interpretation of a gravitational solution as corresponding to a particular CFT state: the asymptotic expansion in gravity encodes the expectation values of operators in the dual CFT state. Such a correspondence is particularly valuable in black hole physics. We study supersymmetric D1-D5-P black holes, for which recently constructed microstate solutions known as "superstrata" provide strong motivation to derive the explicit D1-D5 holographic dictionary for CFT operators of total dimension two. In this work we derive the explicit map between one-point functions of scalar chiral primaries of dimension (1,1) and the asymptotic expansions of families of asymptotically AdS\(_3\times\)S\(^3 \times\)M supergravity solutions, with M either T\(^4\) or K3. We include all possible mixings between single-trace and multi-trace operators. We perform several tests of the holographic map, including new precision holographic tests of superstrata, that provide strong supporting evidence for the proposed dual CFT states.
ISSN:2331-8422
DOI:10.48550/arxiv.1904.12880