R 2 corrected AdS2 holography

We approach the problem of constructing an explicit holographic dictionary for the AdS 2 /CFT 1 correspondence in the context of higher derivative gravitational actions in AdS2 space-times. These actions are obtained by an S 2 reduction of four-dimensional $$ \mathcal{N} $$ N = 2 Wilsonian effective...

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Bibliographic Details
Published in:The journal of high energy physics 2021-03, Vol.2021 (3), p.1-47, Article 255
Main Authors: Aniceto, Pedro, Cardoso, Gabriel Lopes, Nampuri, Suresh
Format: Article
Language:English
Subjects:
2D Gravity
AdS-CFT Correspondence
Black Holes
Extended Supersymmetry
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Summary:We approach the problem of constructing an explicit holographic dictionary for the AdS 2 /CFT 1 correspondence in the context of higher derivative gravitational actions in AdS2 space-times. These actions are obtained by an S 2 reduction of four-dimensional $$ \mathcal{N} $$ N = 2 Wilsonian effective actions with Weyl squared interactions restricted to constant scalar backgrounds. BPS black hole near-horizon space-times fall into this class of backgrounds, and by identifying the boundary operators dual to the bulk fields, we explicitly show how the Wald entropy of the BPS black hole is holographically encoded in the anomalous transformation of the operator dual to a composite bulk field. Additionally, using a 2d/3d lift, we show that the CFT holographically dual to AdS 2 is naturally embedded in the chiral half of the CFT 2 dual to the AdS 3 space-time, and we identify the specific operator in CFT 1 that encodes the chiral central charge of the CFT 2 .
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP03(2021)255