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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.

Authors:
; ;
Publication Date:
Research Org.:
Univ. of California, Los Angeles, CA (United States); Pennsylvania State Univ., University Park, PA (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1469040
Alternate Identifier(s):
OSTI ID: 1498981
Grant/Contract Number:  
SC0009937; SC0013699
Resource Type:
Published Article
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Name: Physical Review Letters Journal Volume: 121 Journal Issue: 10; Journal ID: ISSN 0031-9007
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats

Bern, Zvi, Parra-Martinez, Julio, and Roiban, Radu. Canceling the U ( 1 ) Anomaly in the S Matrix of N = 4 Supergravity. United States: N. p., 2018. Web. doi:10.1103/PhysRevLett.121.101604.
Bern, Zvi, Parra-Martinez, Julio, & Roiban, Radu. Canceling the U ( 1 ) Anomaly in the S Matrix of N = 4 Supergravity. United States. doi:10.1103/PhysRevLett.121.101604.
Bern, Zvi, Parra-Martinez, Julio, and Roiban, Radu. Fri . "Canceling the U ( 1 ) Anomaly in the S Matrix of N = 4 Supergravity". United States. doi:10.1103/PhysRevLett.121.101604.
@article{osti_1469040,
title = {Canceling the U ( 1 ) Anomaly in the S Matrix of N = 4 Supergravity},
author = {Bern, Zvi and Parra-Martinez, Julio and Roiban, Radu},
abstractNote = {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.},
doi = {10.1103/PhysRevLett.121.101604},
journal = {Physical Review Letters},
number = 10,
volume = 121,
place = {United States},
year = {2018},
month = {9}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1103/PhysRevLett.121.101604

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Cited by: 5 works
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