PIRSA:16100062

Video URL

https://pirsa.org/16100062

Conformal Blocks, Entanglement Entropy & Heavy States

Banerjee, P. (2016). Conformal Blocks, Entanglement Entropy & Heavy States. Perimeter Institute for Theoretical Physics. https://pirsa.org/16100062

Banerjee, Pinaki. Conformal Blocks, Entanglement Entropy & Heavy States. Perimeter Institute for Theoretical Physics, Oct. 25, 2016, https://pirsa.org/16100062 

          @misc{ scivideos_PIRSA:16100062,
            doi = {10.48660/16100062},
            url = {https://pirsa.org/16100062},
            author = {Banerjee, Pinaki},
            keywords = {Quantum Fields and Strings},
            language = {en},
            title = {Conformal Blocks, Entanglement Entropy \& Heavy States},
            publisher = {Perimeter Institute for Theoretical Physics},
            year = {2016},
            month = {oct},
            note = {PIRSA:16100062 see, \url{https://scivideos.org/index.php/pirsa/16100062}}
          }

Pinaki Banerjee ICTP - SAIFR

Talk numberPIRSA:16100062
DOI10.48660/16100062
Source RepositoryPIRSA
Collection
Talk Type Scientific Series
Subject

Abstract

We consider conformal blocks of two heavy operators and an arbitrary  number of light operators in a 1+1 dimensional CFT with large central charge. Using the monodromy method, these higher-point  conformal blocks are shown to factorize into products of 4-point conformal blocks in the heavy-light limit for a class of OPE channels. This result is reproduced by considering suitable worldline configurations in the bulk conical defect geometry. We apply the CFT results to calculate the entanglement entropy of an arbitrary number of  disjoint intervals for heavy states. The corresponding holographic entanglement entropy calculated via the minimal area prescription precisely matches these results from CFT.