Iberian Strings Meetings 

19/01/2021, 15:30 — 16:00 — Online
Pedro Aniceto, Instituto Superior Técnico, Universidade de Lisboa

$R^2$ corrected $AdS_2$ holography

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 $CFT_2$.

See also

AdS2_R_2_Iberian_strings.pdf