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The Ultraviolet Properties of N=4 Supergravity at Four Loops
Zvi Bern, Scott Davies, Tristan Dennen +2
We demonstrate that pure N=4 supergravity is ultraviolet divergent at four loops. The form of the divergence suggests that it is due to the rigid U(1) duality-symmetry anomaly of t…
The Ultraviolet Structure of Half-Maximal Supergravity with Matter Multiplets at Two and Three Loops
Zvi Bern, Scott Davies, Tristan Dennen
Using the duality between color and kinematics, we construct the two- and three-loop amplitudes of half-maximal supergravity with matter multiplets and show that new divergences oc…
Color-Kinematics Duality for Pure Yang-Mills and Gravity at One and Two Loops
Zvi Bern, Scott Davies, Tristan Dennen +2
We provide evidence in favor of the conjectured duality between color and kinematics for the case of nonsupersymmetric pure Yang-Mills amplitudes by constructing a form of the one-…