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 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.
Highlights
1 Si cini Di where the sum runs over cubic graphs, Di denotes the product of the inverse scalar propagators of the cubic graph i, and Si are symmetry factors. ci and ni are group-theory and kinematic factors associated with that graph, respectively
Up to a possible projector enforcing the chirality of fermion wave function. This condition can be satisfied if the theory is a YM theory with one irreducible spin-1/2 fermion in dimensions6 D = 3, 4, 6, 10; it is equivalent to requiring that the supergravity theory obtained from a double copy has supersymmetry restored in the massless limit
It is natural to associate a zero mass to the propagators for the t, u channels; the s channel could potentially be assigned a nonzero mass ms, as shown. This is a consequence of the structure of color and kinematics factors in scattering amplitudes involving massive W bosons which double-copy with this amplitude
Summary
Where the sum runs over cubic graphs, Di denotes the product of the inverse scalar propagators of the cubic graph i, and Si are symmetry factors. ci and ni are group-theory and kinematic factors associated with that graph, respectively. Imposing color/kinematics duality on the two-fermion-two-scalar amplitudes following from the Lagrangian (2.1) constrains the Γ matrices to be generators of a Clifford algebra [31], ΓI , ΓJ = −2δIJ ;. For the discussion of color/kinematics duality we will keep general the representation R of fermionic fields. It will be convenient to avoid displaying explicitly the flavor/global indices for the fermions; to spacetime spinor indices, their contraction is realized as matrix multiplication. Color/kinematics duality of the massless limit of the bosonic part of the Lagrangian was established in [64] Demanding that it holds for the four-fermion, four-scalar and two-fermion-two-scalar amplitudes of the complete Lagrangian yields constrains on the scalar and fermion mass matrices and the three-index tensor F IJK. A study of the five-point amplitudes reveals no additional constraints
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
