PIRSA:15030122 Scientific Series Other

DOI10.48660/15030122

Series: Colloquium

Czech, B. (2015). Some Information for Assembling Space. Perimeter Institute. https://pirsa.org/15030122

Czech, Bartek. Some Information for Assembling Space. Perimeter Institute, Mar. 18, 2015, https://pirsa.org/15030122 

@misc{ pirsa_PIRSA:15030122,
  doi = {10.48660/15030122},
  url = {https://pirsa.org/15030122},
  author = {Czech, Bartek},
  keywords = {Other},
  language = {en},
  title = {Some Information for Assembling Space},
  publisher = {Perimeter Institute},
  year = {2015},
  month = {mar},
  note = {PIRSA:15030122 see, \url{https://pirsa.org}}
}

Abstract

In holographic duality a gravitational spacetime emerges as an equivalent description of a lower-dimensional conformal field theory (CFT) living on the asymptotic boundary. Traditionally, the dimension not present in the CFT is interpreted in terms of its Renormalisation Group flow. In this talk I exploit the relation between boundary entanglement entropies and bulk minimal surfaces to define a quantitative framework for the holographic Renormalisation Group, in which quantum information theory plays a fundamental role. I will provide operational, quantitative, information-theoretic characterizations of several geometric concepts in asymptotically AdS3 spacetimes, including the radial direction and lengths of bulk curves.

Perhaps the biggest conceptual benefit of the information-theoretic framework for holographic Renormalisation Group is a quantitative correspondence between holography and the Multi-Scale Entanglement Renormalisation Ansatz (MERA). I also discuss prospects for understanding the near-horizon structure of black holes.

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