Non-Abelian gauged supergravities as double copies
Marco Chiodaroli (Department of Physics and Astronomy, Uppsala University, Uppsala, SE-75108, Sweden); Murat Günaydin (Stanford Institute for Theoretical Physics and Department of Physics, Stanford University, Stanford, CA, 94305, U.S.A., Institute for Gravitation and the Cosmos, The Pennsylvania State University, University Park, PA, 16802, U.S.A.); Henrik Johansson (Department of Physics and Astronomy, Uppsala University, Uppsala, SE-75108, Sweden, Nordita, Stockholm University and KTH Royal Institute of Technology, Roslagstullsbacken 23, Stockholm, SE-10691, Sweden); Radu Roiban (Institute for Gravitation and the Cosmos, The Pennsylvania State University, University Park, PA, 16802, U.S.A.)
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 $$ \mathcal{N}=8 $$ 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 $$ \mathcal{N}=4 $$ 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 $$ \mathcal{N}=6,\;4 $$ supersymmetry and U(1) gauge group. The third has unbroken $$ \mathcal{N}=4 $$ supersymmetry and SU(2) × U(1) gauge group. We also discuss examples in which the double-copy method gives theories with explicitly-broken supersymmetry.