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20 April 2024

» arxiv » 1309.2498

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The Ultraviolet Properties of N=4 Supergravity at Four Loops
Zvi Bern ; Scott Davies ; Tristan Dennen ; Alexander V. Smirnov ; Vladimir A. Smirnov ;
Date:	10 Sep 2013
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.
Source:	arXiv, 1309.2498
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