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On cancellations of ultraviolet divergences in supergravity amplitudes

✍ Scribed by N.E.J. Bjerrum-Bohr; P. Vanhove

Publisher
John Wiley and Sons
Year
2008
Tongue
English
Weight
186 KB
Volume
56
Category
Article
ISSN
0015-8208

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✦ Synopsis

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 been observed until three loops. The cancellations can be connected to two manifest features of gravitational theories: firstly gauge invariance from diffeomorphism symmetries and secondly that amplitudes are colourless and exhibits crossing symmetry. We will discuss these two properties in turn as well as the rΓ΄le of supersymmetry and string theory dualities in the structure of multiloop amplitudes in supergravity.

πŸ“œ SIMILAR VOLUMES

Amplitudes and ultraviolet behavior of N
Amplitudes and ultraviolet behavior of N = 8 supergravity
✍ Z. Bern; J.J. Carrasco; L.J. Dixon; H. Johansson; R. Roiban πŸ“‚ Article πŸ“… 2011 πŸ› John Wiley and Sons 🌐 English βš– 382 KB

## 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 fr