Holographic Charged Renyi Entropies
High Energy Physics - Theory
2015-06-17 v2
Abstract
We construct a new class of entanglement measures by extending the usual definition of Renyi entropy to include a chemical potential. These charged Renyi entropies measure the degree of entanglement in different charge sectors of the theory and are given by Euclidean path integrals with the insertion of a Wilson line encircling the entangling surface. We compute these entropies for a spherical entangling surface in CFT's with holographic duals, where they are related to entropies of charged black holes with hyperbolic horizons. We also compute charged Renyi entropies in free field theories.
Cite
@article{arxiv.1310.4180,
title = {Holographic Charged Renyi Entropies},
author = {Alexandre Belin and Ling-Yan Hung and Alexander Maloney and Shunji Matsuura and Robert C. Myers and Todd Sierens},
journal= {arXiv preprint arXiv:1310.4180},
year = {2015}
}
Comments
58 pages, v2 - figures fixed and references added