Bootstrapping critical Ising model on three-dimensional real projective space
High Energy Physics - Theory
2016-04-20 v2 Statistical Mechanics
Abstract
Given a conformal data on a flat Euclidean space, we use crosscap conformal bootstrap equations to numerically solve the Lee-Yang model as well as the critical Ising model on a three-dimensional real projective space. We check the rapid convergence of our bootstrap program in two-dimensions from the exact solutions available. Based on the comparison, we estimate that our systematic error on the numerically solved one-point functions of the critical Ising model on a three-dimensional real projective space is less than one percent. Our method opens up a novel way to solve conformal field theories on non-trivial geometries.
Keywords
Cite
@article{arxiv.1601.06851,
title = {Bootstrapping critical Ising model on three-dimensional real projective space},
author = {Yu Nakayama},
journal= {arXiv preprint arXiv:1601.06851},
year = {2016}
}
Comments
5 pages with appendix, v2: published version with updates