Journal
PHYSICAL REVIEW LETTERS
Volume 120, Issue 9, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.120.091601
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Funding
- NSF [NSF PHY-1314311]
- Institute for Advanced Study
- Pappalardo Fellowship
- Simons Collaboration Grant on the Non-Perturbative Bootstrap
- Natural Sciences and Engineering Research Council of Canada (NSERC) Banting Postdoctoral Fellowships program
- National Science Foundation [NSF PHY-1125915]
- Swarthmore College
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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(3)) picture. In certain cases, Wilson loops of the modular Berry connection compute lengths of curves in AdS(3), reproducing the differential entropy formula. Modular Berry transformations can be measured by bulk observers moving with varying accelerations.
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