2017年3月
From path integrals to tensor networks for the AdS/CFT correspondence
PHYSICAL REVIEW D
- ,
- ,
- 巻
- 95
- 号
- 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
- ID情報
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- DOI : 10.1103/PhysRevD.95.066004
- ISSN : 2470-0010
- eISSN : 2470-0029
- Web of Science ID : WOS:000396031400010