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Amplitudes and ultraviolet behavior of \({\mathcal N}=8\) supergravity. (English) Zbl 1222.83182

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

MSC:

83E50 Supergravity
83C45 Quantization of the gravitational field
81T13 Yang-Mills and other gauge theories in quantum field theory
53C07 Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills)
70S15 Yang-Mills and other gauge theories in mechanics of particles and systems
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