A new spin on entanglement entropy

Abstract

We argue that the usual notions of thermodynamic and entanglement entropy have novel analogs in the context of higher spin theories. In particular, the Wald and Ryu-Takayanagi formulas have natural higher spin extensions that we work out and study. On the CFT side, just as standard entanglement entropy in CFT_2 can be computed from twist field correlators, we demonstrate that by introducing corresponding operators carrying higher spin charge we can precisely reproduce our results from the bulk. We also show that the first law for entanglement entropy implies the linearized field equations for the metric and higher spin fields, generalizing recent work on deriving the linearized Einstein equations from the first law.

arXiv comment39 pages

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Cited by in corpus (11)

• Entanglement, Holography and Causal Diamonds
• Virasoro conformal blocks in closed form
• Higher Spin Entanglement and W_N Conformal Blocks
• Charged structure constants from modularity
• Holographic de Sitter Geometry from Entanglement in Conformal Field Theory
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• Eternal Higher Spin Black Holes: a Thermofield Interpretation
• Extremal Higher Spin Black Holes
• Corrections in the relative entropy of black hole microstates