Bounds on Triangle Anomalies in (3+1)d
High Energy Physics - Theory
2020-07-01 v2
Abstract
How many charged degrees of freedom are necessary to accommodate a certain amount of 't Hooft anomaly? Using the conformal bootstrap for the four-point function of flavor current multiplets, we show that in all (3+1)d superconformal field theories the 't Hooft anomaly of a continuous flavor symmetry is bounded from above by the 3/2 power of the current two-point function coefficient, which can be thought of as a measure for the amount of charged degrees of freedom. We check our bounds against free fields and SQCD in the conformal window.
Keywords
Cite
@article{arxiv.1909.11676,
title = {Bounds on Triangle Anomalies in (3+1)d},
author = {Ying-Hsuan Lin and David Meltzer and Shu-Heng Shao and Andreas Stergiou},
journal= {arXiv preprint arXiv:1909.11676},
year = {2020}
}
Comments
16 pages, 4 figures. v2: Typos fixed, presentation improved