Ultraviolet Properties of N=4 Supergravity at Four Loops

TY - JOUR

T1 - Ultraviolet Properties of N=4 Supergravity at Four Loops

AU - Bern, Zvi

AU - Davies, Scott

AU - Dennen, Tristan Lucas

PY - 2013/12/3

Y1 - 2013/12/3

N2 - 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.

AB - 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.

U2 - 10.1103/PhysRevLett.111.231302

DO - 10.1103/PhysRevLett.111.231302

M3 - Journal article

C2 - 24476251

SN - 0031-9007

VL - 111

JO - Physical Review Letters

JF - Physical Review Letters

IS - 23

M1 - 231302

ER -