Conformal Field Theory Ground States as Critical Points of an Entropy Function
High Energy Physics - Theory
2023-12-21 v2 Strongly Correlated Electrons
Quantum Physics
Abstract
We derive an entropy formula satisfied by the ground states of 1+1D conformal field theories. The formula implies that the ground state is the critical point of an entropy function. We conjecture that this formula may serve as an information-theoretic criterion for conformal field theories, which differs from the conventional algebraic definition. In addition to these findings, we use the same proof method to extract the six global conformal generators of the conformal field theory from its ground state. We validate our results by testing them on different critical lattice models with excellent agreement.
Keywords
Cite
@article{arxiv.2303.05444,
title = {Conformal Field Theory Ground States as Critical Points of an Entropy Function},
author = {Ting-Chun Lin and John McGreevy},
journal= {arXiv preprint arXiv:2303.05444},
year = {2023}
}