PIRSA:17040042

Two Continous Approaches to AdS/Tensor Network duality

Takayanagi, T. (2017). Two Continous Approaches to AdS/Tensor Network duality. Perimeter Institute. https://pirsa.org/17040042

Takayanagi, Tadashi. Two Continous Approaches to AdS/Tensor Network duality. Perimeter Institute, Apr. 20, 2017, https://pirsa.org/17040042 

          @misc{ pirsa_17040042,
            doi = {10.48660/17040042},
            url = {https://pirsa.org/17040042},
            author = {Takayanagi, Tadashi},
            keywords = {Condensed Matter, Quantum Fields and Strings, Quantum Gravity, Quantum Information},
            language = {en},
            title = {Two Continous Approaches to AdS/Tensor Network duality},
            publisher = {Perimeter Institute},
            year = {2017},
            month = {apr},
            note = {PIRSA:17040042 see, \url{https://pirsa.org}}
          }

Tadashi Takayanagi Yukawa Institute for Theoretical Physics

DOI 10.48660/17040042
Collection
Talk Type Conference
Subject

Abstract

In this talk, I would like to discuss how we can realize the correspondence between AdS/CFT and tensor network in quantum field theories (i.e. the continous limit). As the first approach I will discuss a possible connection between continuous MERA and AdS/CFT. Next I will introduce the second approach based on the optimization of Euclidean path-integral, where the strcutures of hyperbolic spaces and entanglement wedges emerge naturally. This second appraoch is closely related to the idea of tensor network renormalization.