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PIRSA:18020082

Modular Berry Connection

APA

Lamprou, L. (2018). Modular Berry Connection. Perimeter Institute for Theoretical Physics. https://pirsa.org/18020082

Lampros Lamprou Massachusetts Institute of Technology (MIT) - Department of Physics

Talk numberPIRSA:18020082
Source RepositoryPIRSA

Abstract

States of a CFT's subregions are consistent with a given global state. For a holographic CFT, this amounts to different entanglement wedges being patches of the same geometry. What relations between them make this possible?

I will propose a Berry experiment to study this question. Berry introduced a connection to describe transformations induced by adiabatically varying Hamiltonians. I will introduce a connection to study how the zero modes of a modular Hamiltonian are affected by varying the CFT subregion that supplies it. I will explain the geometric meaning of modular Berry phases in the bulk and describe an experiment to measure them which involves observers moving with adiabatically varying accelerations.