R 2 corrected AdS2 holography

Abstract

Abstract We approach the problem of constructing an explicit holographic dictionary for the AdS2/CFT1 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 N $$ \mathcal{N} $$ = 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 AdS2 is naturally embedded in the chiral half of the CFT2 dual to the AdS3 space-time, and we identify the specific operator in CFT1 that encodes the chiral central charge of the CFT2.

Keywords

• 2D Gravity
• AdS-CFT Correspondence
• Black Holes
• Extended Supersymmetry