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Title: Canceling the U ( 1 ) Anomaly in the S Matrix of N=4 Supergravity

Journal Article · · Physical Review Letters
 [1];  [1];  [2]
  1. Univ. of California, Los Angeles, CA (United States). Mani L. Bhaumik Inst. for Theoretical Physics, Dept. of Physics and Astronomy
  2. Pennsylvania State Univ., University Park, PA (United States). Inst. for Gravitation and the Cosmos
+ Show Author Affiliations

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.

Research Organization:
Univ. of California, Los Angeles, CA (United States); Pennsylvania State Univ., University Park, PA (United States)
Sponsoring Organization:
USDOE Office of Science (SC), High Energy Physics (HEP)
Grant/Contract Number:
SC0009937; SC0013699
OSTI ID:
1469040
Alternate ID(s):
OSTI ID: 1498981
Journal Information:
Physical Review Letters, Vol. 121, Issue 10; ISSN 0031-9007
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

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Cited By (4)

N$$ \mathcal{N} $$ = 4 conformal supergravity: the complete actions journal January 2020
One-loop amplitudes for N $$ \mathcal{N} $$ = 2 homogeneous supergravities journal March 2019
Type D spacetimes and the Weyl double copy journal February 2019
Type D Spacetimes and the Weyl Double Copy text January 2018

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