@article{bb51b7feb4f248aaa72bfcbce22d1e6d,
title = "Canceling the U (1) Anomaly in the S Matrix of N=4 Supergravity",
abstract = "N=4 supergravity is understood to contain a U(1) anomaly which manifests itself via the nonvanishing of loop-level scattering amplitudes that violate a tree-level charge conservation rule. In this Letter we provide detailed evidence that at one loop such anomalous amplitudes can be set to zero by the addition of a finite local counterterm. We show that the same counterterm also cancels evanescent contributions that play an important role in the analysis of ultraviolet divergences in dimensionally regularized gravity. These cancellations call for a reanalysis of the four-loop ultraviolet divergences previously found in this theory without the addition of such counterterms.",
author = "Zvi Bern and Julio Parra-Martinez and Radu Roiban",
note = "Funding Information: We thank Wei-Ming Chen, Clifford Cheung, Jared Claypoole, Lance Dixon, Thomas Dumitrescu, Yu-tin Huang, Henrik Johansson, David Kosower, Oliver Schlotterer, Chia-Hsien Shen, Arkady Tseytlin, Congkao Wen, and Edward Witten for many enlightening discussions. This work was supported in part by the Department of Energy under Awards No. DE-SC0009937, No. DE-SC0013699 and in part by the National Science Foundation under Grant No. NSF PHY-1125915. We thank the Kavli Intitute for Theoretical Physics, where this work was initiated, for hospitality. J. P.-M. is supported by the U.S. Department of State through a Fulbright Scholarship. J. P.-M. also thanks the Mani L. Bhaumik Institute for generous summer support. Publisher Copyright: {\textcopyright} 2018 authors. Published by the American Physical Society. Published by the American Physical Society under the terms of the »https://creativecommons.org/licenses/by/4.0/» 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 SCOAP.",
year = "2018",
month = sep,
day = "7",
doi = "10.1103/PhysRevLett.121.101604",
language = "English (US)",
volume = "121",
journal = "Physical Review Letters",
issn = "0031-9007",
publisher = "American Physical Society",
number = "10",
}