Modular Berry Connection for Entangled Subregions in AdS/CFT
Name
PhysRevLett.120.091601.pdf
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193.41 KB
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Author(s)
Czech, Bartłomiej
Lamprou, Lampros
McCandlish, Samuel
Sully, James
Date Issued
February 2018
Journal
Physical Review Letters
Publisher
American Physical Society
Citation
Czech, Bartłomiej et al. "Modular Berry Connection for Entangled Subregions in AdS/CFT." Physical Review Letters 120, 9 (February 2018): 091601
Version
Final published version
Abstract
The Berry connection describes transformations induced by adiabatically varying Hamiltonians. We study how zero modes of the modular Hamiltonian are affected by varying the region that supplies the modular Hamiltonian. In the vacuum of a 2D conformal field theory, global conformal symmetry singles out a unique modular Berry connection, which we compute directly and in the dual three-dimensional anti–de Sitter (AdS[subscript 3]) picture. In certain cases, Wilson loops of the modular Berry connection compute lengths of curves in AdS[subscript 3], reproducing the differential entropy formula. Modular Berry transformations can be measured by bulk observers moving with varying accelerations.
MIT Department
Massachusetts Institute of Technology. Department of Physics
Terms of Use
Creative Commons Attribution
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1103/PhysRevLett.120.091601
