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hep-thSep 26, 2016
3
citations (OpenAlex)
authors
  • Ning Bao
  • Aidan Chatwin-Davies
institutions
  • California Institute of Technology
arXiv abstractPDF
paper

The Complexity of Identifying Ryu-Takayanagi Surfaces in AdS3/CFT2

arXiv:1609.01727 · doi:10.1007/JHEP11(2016)034

Abstract

We present a constructive algorithm for the determination of Ryu-Takayanagi surfaces in AdS3/CFT2 which exploits previously noted connections between holographic entanglement entropy and max-flow/min-cut. We then characterize its complexity as a polynomial time algorithm.

arXiv comment14 pages, 4 figures, v2: small typo fixes, added Ref. [10]

References in corpus (12)

  • The Large N Limit of Superconformal Field Theories and Supergravity
  • Holographic Derivation of Entanglement Entropy from AdS/CFT
  • The Black Hole in Three Dimensional Space Time
  • Entanglement Entropy and Quantum Field Theory
  • A Covariant Holographic Entanglement Entropy Proposal
  • Geometric and Renormalized Entropy in Conformal Field Theory
  • Gravitation from Entanglement in Holographic CFTs
  • Maximin Surfaces, and the Strong Subadditivity of the Covariant Holographic Entanglement Entropy
  • Gravitational Dynamics From Entanglement "Thermodynamics"
  • The Holographic Entropy Cone
  • Universality of Gravity from Entanglement
  • Entanglement entropy in three dimensional gravity

Cited by in corpus (3)

  • On complexity growth in massive gravity theories, the effects of chirality and more
  • Time evolution of entanglement for holographic steady state formation
  • Discrete Bulk Reconstruction
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