Constraints on Perturbative RG Flows in Six Dimensions
Abstract
When conformal field theories (CFTs) are perturbed by marginally relevant deformations, renormalization group (RG) flows ensue that can be studied with perturbative methods, at least as long as they remain close to the original CFT. In this work we study such RG flows in the vicinity of six-dimensional unitary CFTs. Neglecting effects of scalar operators of dimension two and four, we use Weyl consistency conditions to prove the -theorem in perturbation theory, and establish that scale implies conformal invariance. We identify a quantity that monotonically decreases in the flow to the infrared due to unitarity, showing that it does not agree with the one studied recently in the literature on the six-dimensional theory.
Cite
@article{arxiv.1604.01782,
title = {Constraints on Perturbative RG Flows in Six Dimensions},
author = {Andreas Stergiou and David Stone and Lorenzo G. Vitale},
journal= {arXiv preprint arXiv:1604.01782},
year = {2016}
}
Comments
16 pages. v2: Mathematica notebook with consistency conditions included. v3: published version. Added derivation of equations 3.5, 3.13 to Mathematica notebook