Absence of Triangles in Maximal Supergravity Amplitudes

Details Absence of Triangles in Maximal Supergravity Amplitudes Absence of Triangles in Maximal Supergravity Amplitudes

2008-05-23

arxiv.org/abs/0805.3682v2

JHEP 0810:006,2008

Physics

High Energy Physics

High Energy Physics - Theory

23 pages, RevTeX4 format. v2: Expanded version with a new section providing some extra background material and an overview of

Scientific paper

10.1088/1126-6708/2008/10/006

From general arguments, we show that one-loop n-point amplitudes in colourless theories satisfy a new type of reduction formula. These lead to the existence of cancellations beyond supersymmetry. Using such reduction relations we prove the no-triangle hypothesis in maximal supergravity by showing that in four dimensions the n-point graviton amplitude contain only scalar box integral functions. We also discuss the reduction formulas in the context of gravity amplitudes with less and no supersymmetry.

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