Autor(es): Donnelly, William ; LePage, Elise ; Li, Yan-Yan ; Pereira, Andre [UNESP] ; Shyam, Vasudev
Data: 2020
Identificador Persistente: http://hdl.handle.net/11449/200451
Origem: Oasisbr
Assunto(s): AdS-CFT Correspondence; Conformal Field Theory; AdS-CFT Correspondence; AdS-CFT Correspondence; Conformal Field Theory; Conformal Field Theory
Made available in DSpace on 2020-12-12T02:06:59Z (GMT). No. of bitstreams: 0 Previous issue date: 2020-05-01
We calculate quantum corrections to holographic entanglement entropy in the proposed duality between TT¯ -deformed holographic 2D CFTs and gravity in AdS3 with a finite cutoff. We first establish the dictionary between the two theories by mapping the flow equation of the deformed CFT to the bulk Wheeler-DeWitt equation. The latter reduces to an ordinary differential equation for the sphere partition function, which we solve to find the entanglement entropy for an entangling surface consisting of two antipodal points on a sphere. The entanglement entropy in the inverse central charge expansion yields the expectation value of the bulk length operator plus the entropy of length fluctuations, in accordance with the Ryu-Takayanagi formula and its generalization due to Faulkner, Lewkowycz, and Maldacena. Special attention is paid to the conformal mode problem and its resolution by a choice of contour for the gravitational path integral.
Perimeter Institute for Theoretical Physics, 31 Caroline St. N
Instituto de Física Teórica UNESP-Universidade Estadual Paulista, R. Dr. Bento T. Ferraz 271, Bl. II
Instituto de Física Teórica UNESP-Universidade Estadual Paulista, R. Dr. Bento T. Ferraz 271, Bl. II
