Path-integral Optimization and AdS/CFT

          @misc{ scivideos_PIRSA:20110033,
            doi = {10.48660/20110033},
            url = {https://pirsa.org/20110033},
            author = {Takayanagi, Tadashi},
            keywords = {Quantum Fields and Strings},
            language = {en},
            title = {Path-integral Optimization and AdS/CFT},
            publisher = {Perimeter Institute for Theoretical Physics},
            year = {2020},
            month = {nov},
            note = {PIRSA:20110033 see, \url{https://scivideos.org/pirsa/20110033}}
          }
          

Abstract

In this talk we will start with a review of path-integraloptimization, which provides a useful description of non-unitary tensor networks for Euclidean path-integrals in CFTs. We will explain an emergence of AdS geometry in this method and an interpretation as a computational complexity. Next we will give its application to analytical calculations of entanglement of purification, which was quite recently reproduced by numerical calculations. Finally, we would like to present a derivation of a path-integral optimization method directly from the AdS/CFT.