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 superconformal field theories the ’t Hooft anomaly of a continuous flavor symmetry is bounded from above by the 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 supersymmetric quantum chromodynamics in the conformal window.
- Received 21 November 2019
- Accepted 27 May 2020
DOI:https://doi.org/10.1103/PhysRevD.101.125007
Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.
Published by the American Physical Society