PIRSA:17040042 Conference Condensed Matter Quantum Fields and Strings Quantum Gravity Quantum Information

DOI10.48660/17040042

Conference/School: Tensor Networks for Quantum Field Theories II

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_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}}
}

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.

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