Ultraviolet Properties of N=4 Supergravity at Four Loops

Zvi Bern; Scott Davies; Tristan Lucas Dennen

doi:10.1103/PhysRevLett.111.231302

Ultraviolet Properties of N=4 Supergravity at Four Loops

Zvi Bern, Scott Davies, Tristan Lucas Dennen

Experimental Particle Physics

91 Citations (Scopus)

Abstract

We demonstrate that pure N=4 supergravity is ultraviolet divergent at four loops. The form of the divergence suggests that it is due to the rigid U(1) duality-symmetry anomaly of the theory. This is the first known example of an ultraviolet divergence in a pure ungauged supergravity theory in four dimensions. We use the duality between color and kinematics to construct the integrand of the four-loop four-point amplitude, whose ultraviolet divergence is then extracted by standard integration techniques.

Original language	English
Article number	231302
Journal	Physical Review Letters
Volume	111
Issue number	23
ISSN	0031-9007
DOIs	https://doi.org/10.1103/PhysRevLett.111.231302
Publication status	Published - 3 Dec 2013

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Bern, Z., Davies, S., & Dennen, T. L. (2013). Ultraviolet Properties of N=4 Supergravity at Four Loops. Physical Review Letters, 111(23), Article 231302. https://doi.org/10.1103/PhysRevLett.111.231302

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Ultraviolet Properties of N=4 Supergravity at Four Loops

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