Continuous Multiscale Entanglement Renormalization Ansatz as Holographic Surface-State Correspondence

2015/06/25 by Masamichi Miyaji, Tokiro Numasawa, Noburo Shiba +2 · 3 citations
Mathematics · Physics and Astronomy · #Ansatz #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Density matrix renormalization group #Geometry #Holography #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Quantum #Quantum entanglement #Quantum mechanics #Renormalization #Renormalization group #State (computer science) #Statistical physics #Surface (topology) #Theoretical physics #cond-mat.str-el #hep-th #quant-ph

paper · pdf · doi:10.1103/physrevlett.115.171602

published as Phys. Rev. Lett. 115, 171602 (2015) · 8 pages, Revtex, 3 figures; comments added, a derivation of bulk propagators is added

arxiv created 2015/06/25 · openalex publication_date 2015/10/22 · arxiv updated 2015/10/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We present how the surface-state correspondence, conjectured by Miyaji and Takayanagi, works in the setup of AdS(3)/CFT(2) by generalizing the formulation of a continuous multiscale entanglement renormalization group ansatz. The boundary states in conformal field theories play a crucial role in our formulation and the bulk diffeomorphism is naturally taken into account. We give an identification of bulk local operators which reproduces correct scalar field solutions on AdS(3) and bulk scalar propagators. We also calculate the information metric for a locally excited state and show that it reproduces the time slice of AdS(3).

Citations

• Surface/State Correspondence as a Generalized Holography
• Vacua, propagators, and holographic probes in AdS/CFT
• THE BOUNDARY AND CROSSCAP STATES IN CONFORMAL FIELD THEORIES
• Holographic Derivation of Entanglement Entropy from the anti–de Sitter Space/Conformal Field Theory Correspondence
• Poking Holes in AdS/CFT: Bulk Fields from Boundary States
• Entanglement Renormalization for Quantum Fields in Real Space
• Exact holographic mapping and emergent space-time geometry
• The world as a hologram
• The Large-N Limit of Superconformal Field Theories and Supergravity
• The large N limit of superconformal field theories and supergravity

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