PIRSA:14100006

Entanglement entropy of Wilson loops: Holography and matrix models

Gentle, S. (2014). Entanglement entropy of Wilson loops: Holography and matrix models. Perimeter Institute. https://pirsa.org/14100006

Gentle, Simon. Entanglement entropy of Wilson loops: Holography and matrix models. Perimeter Institute, Oct. 28, 2014, https://pirsa.org/14100006 

          @misc{ pirsa_PIRSA:14100006,
            doi = {10.48660/14100006},
            url = {https://pirsa.org/14100006},
            author = {Gentle, Simon},
            keywords = {Quantum Fields and Strings},
            language = {en},
            title = {Entanglement entropy of Wilson loops: Holography and matrix models},
            publisher = {Perimeter Institute},
            year = {2014},
            month = {oct},
            note = {PIRSA:14100006 see, \url{https://pirsa.org}}
          }

Simon Gentle University of California, Los Angeles

Talk numberPIRSA:14100006
DOI10.48660/14100006
Collection
Talk Type Scientific Series
Subject

Abstract

A half-BPS circular Wilson loop in maximally supersymmetric SU(N) Yang-Mills theory in an arbitrary representation is described by a Gaussian matrix model with a particular insertion. The additional entanglement entropy of a spherical region in the presence of such a loop was recently computed by Lewkowycz and Maldacena using exact matrix model results. In this talk I will utilise the supergravity solutions that are dual to such Wilson loops in large representations to calculate this entropy holographically. Employing the results of Gomis, Matsuura, Okuda and Trancanelli to express this holographic entanglement entropy in a matrix model language, I will demonstrate complete agreement with the formula derived by Lewkowycz and Maldacena.