Universal holographic description of CFT entanglement entropy

          @misc{ scivideos_PIRSA:15080061,
            doi = {10.48660/15080061},
            url = {https://pirsa.org/15080061},
            author = {Faulkner, Thomas},
            keywords = {Quantum Fields and Strings, Quantum Gravity, Quantum Information},
            language = {en},
            title = {Universal holographic description of CFT entanglement entropy},
            publisher = {Perimeter Institute for Theoretical Physics},
            year = {2015},
            month = {aug},
            note = {PIRSA:15080061 see, \url{https://scivideos.org/index.php/pirsa/15080061}}
          }
          

Abstract

The Ryu-Takayanagi proposal (and generalizations) for holographic entanglement makes predictions for geometric CFT entanglement entropy (EE) that continue to hold for any CFT, regardless of existence of large-N limit or strong coupling. We establish this using a direct field theory calculation, thus providing a non-trivial check of the holographic proposal. This universality emerges for small perturbations of the EE of a ball shaped region. Einstein’s equations arise from the field theory calculation as a way to efficiently encode this perturbative CFT entanglement holographically in the geometry of a dual space-time.