Z. Bern, «Gravity as a Double Copy of Gauge Theory and Implications for Ultraviolet Properties»
We will demonstate that at high loop orders we can easily obtain gravity amplitudes from gauge theory ones which have been put into a form manifestly satisfying a duality between color and kinematics. Implications for ultraviolet properties of gravity theories, and in particular N=8 supergravity in various dimension, will be described. We will show that that in detail the ultraviolet properties of N=8 supergravity match those of N=4 super-Yang-Mills theory (which is known to be ultraviolet finite in four dimensions) through at least four loops. We will also give an update on the status at five and higher loops.