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Amplitudes and ultraviolet behavior of N = 8 supergravity

✍ Scribed by Z. Bern; J.J. Carrasco; L.J. Dixon; H. Johansson; R. Roiban


Publisher
John Wiley and Sons
Year
2011
Tongue
English
Weight
382 KB
Volume
59
Category
Article
ISSN
0015-8208

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✦ Synopsis


Abstract

In this contribution we describe computational tools that permit the evaluation of multi‐loop scattering amplitudes in 𝒩 = 8 supergravity, in terms of amplitudes in 𝒩 = 4 super‐Yang‐Mills theory. We also discuss the remarkable ultraviolet behavior of 𝒩 = 8 supergravity, which follows from these amplitudes, and is as good as that of 𝒩 = 4 super‐Yang‐Mills theory through at least four loops.


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On cancellations of ultraviolet divergen
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## Abstract Concrete calculations have pointed out that amplitudes in perturbative gravity exhibit unanticipated cancellations taming their ultraviolet behaviour independently of supersymmetry. Similar ultraviolet behaviour of 𝒩 = 4 super‐Yang‐Mills and 𝒩 = 8 maximal supergravity has explicitly bee