PIRSA:17040048 Conference Condensed Matter Quantum Fields and Strings Quantum Gravity Quantum Information

DOI10.48660/17040048

Conference/School: Tensor Networks for Quantum Field Theories II

Hung, L. (2017). Tensor network and (p-adic) AdS/CFT. Perimeter Institute. https://pirsa.org/17040048

Hung, Ling-Yan. Tensor network and (p-adic) AdS/CFT. Perimeter Institute, Apr. 21, 2017, https://pirsa.org/17040048 

@misc{ pirsa_PIRSA:17040048,
  doi = {10.48660/17040048},
  url = {https://pirsa.org/17040048},
  author = {Hung, Ling-Yan},
  keywords = {Condensed Matter, Quantum Fields and Strings, Quantum Gravity, Quantum Information},
  language = {en},
  title = {Tensor network and (p-adic) AdS/CFT},
  publisher = {Perimeter Institute},
  year = {2017},
  month = {apr},
  note = {PIRSA:17040048 see, \url{https://pirsa.org}}
}

Abstract

We will describe how the reconstruction of a bulk operator can be organised systematically. With a suitable parametrisation, an analogue of the HKLL formula emerges, involving a smearing function satisfying a Klein Gordon equation in the graph. The parametrisation also allows us to read off interaction vertices, and build up loop diagrams systematically. When we interpret the Bruhat-Tits tree as a tensor network, we recover (partially) features of the p-adic AdS/CFT dictionary discussed recently in the literature.

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