Conformal Field Theories in Fractional Dimensions
High Energy Physics - Theory
2015-10-13 v3 Statistical Mechanics
Abstract
We study the conformal bootstrap in fractional space-time dimensions, obtaining rigorous bounds on operator dimensions. Our results show strong evidence that there is a family of unitary CFTs connecting the 2D Ising model, the 3D Ising model, and the free scalar theory in 4D. We give numerical predictions for the leading operator dimensions and central charge in this family at different values of D and compare these to calculations of phi^4 theory in the epsilon-expansion.
Keywords
Cite
@article{arxiv.1309.5089,
title = {Conformal Field Theories in Fractional Dimensions},
author = {S. El-Showk and M. Paulos and D. Poland and S. Rychkov and D. Simmons-Duffin and A. Vichi},
journal= {arXiv preprint arXiv:1309.5089},
year = {2015}
}
Comments
11 pages, 4 figures - references updated - one affiliation modified