論文

査読有り
2017年3月

From path integrals to tensor networks for the AdS/CFT correspondence

PHYSICAL REVIEW D
  • Masamichi Miyaji
  • ,
  • Tadashi Takayanagi
  • ,
  • Kento Watanabe

95
6
記述言語
英語
掲載種別
研究論文(学術雑誌)
DOI
10.1103/PhysRevD.95.066004
出版者・発行元
AMER PHYSICAL SOC

In this paper, we discuss tensor network descriptions of AdS/CFT from two different viewpoints. First, we start with a Euclidean path-integral computation of ground state wave functions with a UV cutoff. We consider its efficient optimization by making its UV cutoff position dependent and define a quantum state at each length scale. We conjecture that this path integral corresponds to a time slice of anti-de Sitter (AdS) spacetime. Next, we derive a flow of quantum states by rewriting the action of Killing vectors of AdS(3) in terms of the dual two-dimensional conformal field theory (CFT). Both approaches support a correspondence between the hyperbolic time slice H-2 in AdS(3) and a version of continuous multiscale entanglement renormalization ansatz. We also give a heuristic argument about why we can expect a sub-AdS scale bulk locality for holographic CFTs.

リンク情報
DOI
https://doi.org/10.1103/PhysRevD.95.066004
Web of Science
https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000396031400010&DestApp=WOS_CPL
ID情報
  • DOI : 10.1103/PhysRevD.95.066004
  • ISSN : 2470-0010
  • eISSN : 2470-0029
  • Web of Science ID : WOS:000396031400010

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