Bounds on Triangle Anomalies in (3+1)d
arXiv:1909.11676 · doi:10.1103/PhysRevD.101.125007
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.
16 pages, 4 figures. v2: Typos fixed, presentation improved