Ultraviolet properties of N=4 supergravity at four loops.
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 the theory. This is the first known example of an ultraviolet divergence in a pure ungauged supergravity theory in four dimensions. We use the duality between color and kinematics to construct the integrand of the four-loop four-point amplitude, whose ultraviolet divergence is then extracted by standard integration techniques.
Department of Physics and Astronomy, UCLA, Los Angeles, California 90095-1547, USA.
Zvi
Z
Bern
Department of Physics and Astronomy, UCLA, Los Angeles, California 90095-1547, USA.
Scott
S
Davies
Niels Bohr International Academy and Discovery Center, The Niels Bohr Institute, Blegdamsvej 17, DK-2100 Copenhagen Ø, Denmark.
Tristan
T
Dennen
Scientific Research Computing Center, Moscow State University, 119992 Moscow, Russia.
Alexander V
AV
Smirnov
Skobeltsyn Institute of Nuclear Physics of Moscow State University, 119992 Moscow, Russia.
Vladimir A
VA
Smirnov