Modular Hamiltonians and large diffeomorphisms in $Ad{S}_3$

Abstract

We generalize the work of Kabat and Lifshytz (arXiv:1703.06523), of reconstructing bulk scalar fields using the intersecting modular hamiltonian approach discussed therein, to any locally $Ad{S}_3$ space related to $Ad{S}_3$ by large diffeomorphisms. We present several checks for our result including matcing with their result in appropriate limits as well as consistency with bulk diffeomorphisms. As a further check, from our expressions we also compute the first correction due to gravitational dressing to the bulk scalar field in $Ad{S}_3$ and match with known results in the literature.

arXiv comment17 pages

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Cited by in corpus (8)

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• Spectrum of Modular Hamiltonian in the Vacuum and Excited States
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• Endpoint contributions to excited-state modular Hamiltonians
• Light-ray moments as endpoint contributions to modular Hamiltonians
• Probing vector-like top partner from same-sign dilepton events at the LHC
• Virasoro algebras, kinematic space and the spectrum of modular Hamiltonians in CFT${}_2$