R^2 corrected AdS_2 holography

Abstract: We approach the problem of constructing the holographic dictionary for AdS_2/CFT_1 in the context of higher derivative gravitational actions in AdS_2. We focus on S_2 reductions of four-dimensional N=2 Wilsonian effective actions with Weyl squared interactions restricted to constant scalar backgrounds. BPS black hole near-horizon spacetimes 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 spacetime, and we identify the specific CFT_1 operator that encodes the chiral central charge of the CFT_2.

general relativity and quantum cosmologyHEP - phenomenologyHEP - theorymathematical physicsquantum physics

Audience: researchers in the topic

HEP seminars TU Wien (Vienna)

Series comments: ID number: 954 8284 9369