Spectrum of Modular Hamiltonian in the Vacuum and Excited States

Abstract

We study the non-zero eigenmodes for the modular Hamiltonian in the context of AdS${}_3/$CFT${}_2$. We show how to perturbatively construct zero eigenmodes for the modular Hamiltonian of the class of excited states constructed in Lashkari et al.(arxiv:1811.05052), using information about the vacuum non-zero eigen modular modes.

arXiv comment22 pages, minor changes

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Cited by in corpus (2)

• Bulk reconstruction using timelike entanglement in (A)dS
• Virasoro algebras, kinematic space and the spectrum of modular Hamiltonians in CFT${}_2$