Relative entropy for coherent states in chiral CFT
High Energy Physics - Theory
2020-01-08 v2 General Relativity and Quantum Cosmology
Quantum Physics
Abstract
We consider the relative entropy between the vacuum state and a state obtained by applying an exponentiated stress tensor to the vacuum of a chiral conformal field theory on the lightray. The smearing function of the stress tensor can be viewed as a vector field on the real line generating a diffeomorphism. We show that the relative entropy is equal to times the so-called Schwarzian action of the diffeomorphism. As an application of this result, we obtain a formula for the relative entropy between the vacuum and a solitonic state.
Keywords
Cite
@article{arxiv.1903.07508,
title = {Relative entropy for coherent states in chiral CFT},
author = {Stefan Hollands},
journal= {arXiv preprint arXiv:1903.07508},
year = {2020}
}
Comments
v2: 19pp, no figures. Extended more detailed version of v1, stronger results, refs. edited, minor presentation changes