Non-Abelian gauged supergravities as double copies

Abstract

Abstract Scattering amplitudes have the potential to provide new insights to the study of supergravity theories with gauged R-symmetry and Minkowski vacua. Such gaugings break supersymmetry spontaneously, either partly or completely. In this paper, we develop a framework for double-copy constructions of Abelian and non-Abelian gaugings of N = 8 $$ \mathcal{N}=8 $$ supergravity with these properties. They are generally obtained as the double copy of a spontaneously-broken (possibly supersymmeric) gauge theory and a theory with explicitly-broken supersymmetry. We first identify purely-adjoint deformations of N = 4 $$ \mathcal{N}=4 $$ super-Yang-Millstheorythatpreservethedualitybetweencolorandkinematics. A combination of Higgsing and orbifolding yields the needed duality-satisfying gauge-theory factors with multiple matter representations. We present three explicit examples. Two are Cremmer-Scherk-Schwarz gaugings with unbroken N = 6 , 4 $$ \mathcal{N}=6,\;4 $$ supersymmetry and U(1) gauge group. The third has unbroken N = 4 $$ \mathcal{N}=4 $$ supersymmetry and SU(2) × U(1) gauge group. We also discuss examples in which the double-copy method gives theories with explicitly-broken supersymmetry.

Keywords

• Extended Supersymmetry
• Scattering Amplitudes
• Supergravity Models