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Modular Hamiltonian for (holographic) excited states

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arxiv 2002.04637 v2 pith:ZPCZVSZ5 submitted 2020-02-11 hep-th

Raúl Arias , Marcelo Botta-Cantcheff , Pedro J. Martinez , Juan F. Zarate This is my paper · ORCID
classification hep-th
keywords modularstatescomputeexcitedhamiltonianbulkflowholographic
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abstract

In this work we study the Tomita-Takesaki construction for a family of excited states that, in a strongly coupled CFT - at large $N$-, correspond to coherent states in an asymptotically AdS spacetime geometry. We compute the modular flow and modular Hamiltonian associated to these excited states in the Rindler wedge and for a ball shaped entangling surface. Using holography, one can compute the bulk modular flow and construct the Tomita-Takesaki theory for these cases. We also discuss generalizations of the entanglement regions in the bulk and how to estimate the modular Hamiltonian in a large N approximation. Finally we present a holographic formula, based on the BDHM prescription, to compute the modular evolution of operators in the corresponding CFT algebra.

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