Absence of Three-Loop Four-Point Divergences in N=4 Supergravity

Details Absence of Three-Loop Four-Point Divergences in N=4 Supergravity Absence of Three-Loop Four-Point Divergences in N=4 Supergravity

2012-02-15

arxiv.org/abs/1202.3423v1

Physics

High Energy Physics

High Energy Physics - Theory

5 pages, 3 figures

Scientific paper

We compute the coefficient of the potential three-loop divergence in pure N=4
supergravity and show that it vanishes, contrary to expectations from symmetry
arguments. The recently uncovered duality between color and kinematics is used
to greatly streamline the calculation. We comment on all-loop cancellations
hinting at further surprises awaiting discovery at higher loops.

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