Lin, Ying-Hsuan and Meltzer, David and Shao, Shu-Heng and Stergiou, Andreas (2020) Bounds on Triangle Anomalies in (3+1)D. Physical Review D, 101 (12). Art. No. 125007. ISSN 2470-0010. doi:10.1103/PhysRevD.101.125007. https://resolver.caltech.edu/CaltechAUTHORS:20191028-150859477
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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 supersymmetric quantum chromodynamics in the conformal window.
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| Additional Information: | © 2020 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. Received 21 November 2019; accepted 27 May 2020; published 9 June 2020. We would like to thank M. Barkeshli, P. Kravchuk, K. Ohmori, and S. Razamat for enlightening discussions. The computations in this paper are performed on the Helios computing cluster supported by the School of Natural Sciences Computing Staff at the Institute for Advanced Study. This research was supported in part by Perimeter Institute for Theoretical Physics. Research at Perimeter Institute is supported by the Government of Canada through the Department of Innovation, Science and Economic Development and by the Province of Ontario through the Ministry of Research and Innovation. This work was performed in part at Aspen Center for Physics, which is supported by National Science Foundation Grant No. PHY-1607611. This work was partially supported by a grant from the Simons Foundation. The research of Y. L. and D. M. is supported by the Walter Burke Institute for Theoretical Physics and the Sherman Fairchild Foundation. The work of S. H. S. is supported by the National Science Foundation Grant No. PHY-1606531, the Roger Dashen Membership, and a grant from the Simons Foundation/SFARI (Grant No. 651444, NS). The work of A. S. is supported by the LANL/LDRD Program. This material is based upon work supported by the U.S. Department of Energy, Office of Science, Office of High Energy Physics, under Award No. DE-SC0011632. | ||||||||||||||||||||||||||
| Group: | Walter Burke Institute for Theoretical Physics | ||||||||||||||||||||||||||
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| Issue or Number: | 12 | ||||||||||||||||||||||||||
| DOI: | 10.1103/PhysRevD.101.125007 | ||||||||||||||||||||||||||
| Record Number: | CaltechAUTHORS:20191028-150859477 | ||||||||||||||||||||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20191028-150859477 | ||||||||||||||||||||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||||||||||||||||||||
| ID Code: | 99503 | ||||||||||||||||||||||||||
| Collection: | CaltechAUTHORS | ||||||||||||||||||||||||||
| Deposited By: | Joy Painter | ||||||||||||||||||||||||||
| Deposited On: | 28 Oct 2019 23:16 | ||||||||||||||||||||||||||
| Last Modified: | 16 Nov 2021 17:47 |
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