Spontaneously Broken Yang-Mills-Einstein Supergravities as Double Copies
Abstract
Color/kinematics duality and the double-copy construction have proved to be systematic tools for gaining new insight into gravitational theories. Extending our earlier work, in this paper we introduce new double-copy constructions for large classes of spontaneously-broken Yang-Mills-Einstein theories with adjoint Higgs fields. One gauge-theory copy entering the construction is a spontaneously-broken (super-)Yang-Mills theory, while the other copy is a bosonic Yang-Mills-scalar theory with trilinear scalar interactions that display an explicitly-broken global symmetry. We show that the kinematic numerators of these gauge theories can be made to obey color/kinematics duality by exhibiting particular additional Lie-algebraic relations. We discuss in detail explicit examples with N=2 supersymmetry, focusing on Yang-Mills-Einstein supergravity theories belonging to the generic Jordan family in four and five dimensions, and identify the map between the supergravity and double-copy fields and parameters. We also briefly discuss the application of our results to N=4 supergravity theories. The constructions are illustrated by explicit examples of tree-level and one-loop scattering amplitudes.
Cite
@article{arxiv.1511.01740,
title = {Spontaneously Broken Yang-Mills-Einstein Supergravities as Double Copies},
author = {Marco Chiodaroli and Murat Gunaydin and Henrik Johansson and Radu Roiban},
journal= {arXiv preprint arXiv:1511.01740},
year = {2017}
}
Comments
64 pages + appendices, 7 figures, PDFLaTex, v2: one-loop amplitude correction, journal version