Local bulk physics from intersecting modular Hamiltonians

Daniel Kabat, Gilad Lifschytz

Research output: Contribution to journalArticlepeer-review

Abstract

We show that bulk quantities localized on a minimal surface homologous to a boundary region correspond in the CFT to operators that commute with the modular Hamiltonian associated with the boundary region. If two such minimal surfaces intersect at a point in the bulk then CFT operators which commute with both extended modular Hamiltonians must be localized at the intersection point. We use this to construct local bulk operators purely from CFT considerations, without knowing the bulk metric, using intersecting modular Hamiltonians. For conformal field theories at zero and finite temperature the appropriate modular Hamiltonians are known explicitly and we recover known expressions for local bulk observables.

Original languageAmerican English
Article number120
JournalJournal of High Energy Physics
Volume2017
Issue number6
DOIs
StatePublished - 1 Jun 2017

Keywords

  • AdS-CFT Correspondence
  • Conformal Field Theory

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

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