1202.3423 (Zvi Bern et al.)

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

Zvi Bern, Scott Davies, Tristan Dennen, Yu-tin Huang

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.

View original: http://arxiv.org/abs/1202.3423