Ryu-Takayanagi Area as an Entanglement Edge Term

Abstract

By comparing entanglement in emergent gauge theories to the bulk in AdS/CFT, I suggest that the Ryu-Takayanagi area term is an entanglement edge term related to a natural measure on the gauge group. The main technical result in this paper is an argument why the "extended Hilbert space" definition of entanglement entropy in a lattice gauge theory is applicable to an emergent gauge theory.

21 pages, 5 figures. v2: revised for clarity, refs added. v3: note added in light of later work

References in corpus (3)

• Causality & holographic entanglement entropy
• An Elliptic Triptych
• A Toy Model of Entwinement

Cited by in corpus (12)

• Local phase space and edge modes for diffeomorphism-invariant theories
• Holographic Renyi Entropy from Quantum Error Correction
• Gravitational Edge Modes, Coadjoint Orbits, and Hydrodynamics
• Entanglement branes and factorization in conformal field theory
• On the logarithmic coefficient of the entanglement entropy of a Maxwell field
• Emergent classical spacetime from microstates of an incipient black hole
• Comments on Defining Entanglement Entropy
• Entanglement Entropy in Jackiw-Teitelboim Gravity
• On the first law of entanglement for Quasi-Topological gravity
• Entanglement entropy and edge modes in topological string theory: I
• Entanglement entropy in Jackiw-Teitelboim gravity with matter
• A new look at the entanglement entropy of a single interval in a 2d CFT