Iberian Strings Meetings 

19/01/2021, 16:30 — 17:00 — Online
Alejandro Vilar Lopez, University of Santiago de Compostela

Holographic entanglement entropy for perturbative higher-curvature gravities

The very well-known prescription of Ryu and Takayanagi for computing holographic entanglement entropy (HEE) in Einstein gravity was extended to higher-curvature theories in works by Xi Dong and Joan Camps. Unfortunately, obtaining the entanglement entropy functional involved an obscure procedure in which the Riemann tensors had to be split and weighted according to a certain prescription. In this talk, I will show that there is a much simpler way to understand this procedure, at least when corrections to Einstein gravity are perturbative. By means of this new way to obtain the HEE functional, I will also show some explicit results for cubic theories, employing them to obtain universal terms of the entanglement entropy for various symmetric regions in the boundary field theory. In particular, the universal function characteristic of corner regions in $d=3$ can be shown to be modified by cubic corrections. This is the first example of a holographically obtained corner function different to the Einstein gravity one.

See also

Presentacion_16_9.pdf