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 AdS3/CFT2. 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.

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