Modular Berry Connection
High Energy Physics - Theory
2018-03-07 v2
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 CFT, global conformal symmetry singles out a unique modular Berry connection, which we compute directly and in the dual AdS picture. In certain cases, Wilson loops of the modular Berry connection compute lengths of curves in AdS, reproducing the differential entropy formula. Modular Berry transformations can be measured by bulk observers moving with varying accelerations.
Keywords
Cite
@article{arxiv.1712.07123,
title = {Modular Berry Connection},
author = {Bartlomiej Czech and Lampros Lamprou and Samuel McCandlish and James Sully},
journal= {arXiv preprint arXiv:1712.07123},
year = {2018}
}
Comments
5 pages, 2 figures. Some clarifications added