# Two Continous Approaches to AdS/Tensor Network duality

### APA

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

### MLA

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

### BibTex

@misc{ pirsa_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}} }

Yukawa Institute for Theoretical Physics

Talk Type

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.