PIRSA:20110033 Conference Quantum Fields and Strings

DOI10.48660/20110033

Conference/School: Tensor Networks: from Simulations to Holography III

Takayanagi, T. (2020). Path-integral Optimization and AdS/CFT. Perimeter Institute. https://pirsa.org/20110033

Takayanagi, Tadashi. Path-integral Optimization and AdS/CFT. Perimeter Institute, Nov. 20, 2020, https://pirsa.org/20110033 

@misc{ pirsa_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},
  year = {2020},
  month = {nov},
  note = {PIRSA:20110033 see, \url{https://pirsa.org}}
}

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.

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