Genus Two Partition Functions and Renyi Entropies of Large c CFTs
High Energy Physics - Theory
2017-10-25 v1 Strongly Correlated Electrons
Abstract
We compute genus two partition functions in two dimensional conformal field theories at large central charge, focusing on surfaces that give the third Renyi entropy of two intervals. We compute this for generalized free theories and for symmetric orbifolds, and compare it to the result in pure gravity. We find a new phase transition if the theory contains a light operator of dimension . This means in particular that unlike the second Renyi entropy, the third one is no longer universal.
Keywords
Cite
@article{arxiv.1704.08250,
title = {Genus Two Partition Functions and Renyi Entropies of Large c CFTs},
author = {Alexandre Belin and Christoph A. Keller and Ida G. Zadeh},
journal= {arXiv preprint arXiv:1704.08250},
year = {2017}
}
Comments
28 pages + Appendices