Department of Physics and Astronomy, UCLA, Los Angeles, California 90095-1547, USA.
Phys Rev Lett. 2012 May 18;108(20):201301. doi: 10.1103/PhysRevLett.108.201301. Epub 2012 May 15.
We compute the coefficient of the potential three-loop four-point ultraviolet 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.
我们计算了纯 N=4 超引力中三体关联三维四点紫外发散的系数,结果表明它为零,这与对称性论证的预期相反。最近发现的颜色和动力学之间的对偶性被用来大大简化计算。我们还对所有圈的抵消进行了评论,这暗示着在更高的圈中还会有更多的惊喜等待发现。