PIRSA:16100060 Scientific Series Quantum Fields and Strings

DOI10.48660/16100060

Series: Quantum Fields and Strings

Lamprou, L. (2016). Building a Gauge-Invariant Holographic Dictionary. Perimeter Institute. https://pirsa.org/16100060

Lamprou, Lampros. Building a Gauge-Invariant Holographic Dictionary. Perimeter Institute, Oct. 18, 2016, https://pirsa.org/16100060 

@misc{ pirsa_PIRSA:16100060,
  doi = {10.48660/16100060},
  url = {https://pirsa.org/16100060},
  author = {Lamprou, Lampros},
  keywords = {Quantum Fields and Strings},
  language = {en},
  title = {Building a Gauge-Invariant Holographic Dictionary},
  publisher = {Perimeter Institute},
  year = {2016},
  month = {oct},
  note = {PIRSA:16100060 see, \url{https://pirsa.org}}
}

Abstract

What natural CFT quantities can “see” in the interior of the bulk AdS in a diffeomorphism invariant way? And how can we use them to learn about the emergence of local bulk physics? Inspired by the Ryu-Takayanagi relation, we construct a class of simple non-local operators on both sides of the duality and demonstrate their equivalence. Integrals of free bulk fields along geodesics/minimal surfaces are dual to what we will call “OPE blocks”: Individual conformal family contributions to the OPE of local operators. Our findings can be utilized to reconstruct local bulk operators and unify a number of previously disconnected AdS/CFT results. We extend this kinematic correspondence to incorporate gravitational interactions in AdS3 by relating geodesic operators to the Virasoro OPE blocks, hence providing a natural CFT prescription for “gravitational dressing”. We conclude with discussion of preliminary results on an interesting CFT structure that generalizes our dictionary to include arbitrary local bulk interactions. 

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