Spectrum of Modular Hamiltonian in the Vacuum and Excited States

Suchetan Das; Bobby Ezhuthachan

doi:10.1007/JHEP10(2019)009

paper

Spectrum of Modular Hamiltonian in the Vacuum and Excited States

arXiv:1906.00726 · doi:10.1007/JHEP10(2019)009

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.

22 pages, minor changes