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.

64 pages + appendices, 7 figures, PDFLaTex, v2: one-loop amplitude correction, journal version

References in corpus (13)

• New Relations for Gauge-Theory Amplitudes
• Minimal Basis for Gauge Theory Amplitudes
• Black holes and the double copy
• Enhanced Ultraviolet Cancellations in N = 5 Supergravity at Four Loop
• Yang-Mills origin of gravitational symmetries
• Scattering equations and BCJ relations for gauge and gravitational amplitudes with massive scalar particles
• Double-Copy Constructions and Unitarity Cuts
• CHY representations for gauge theory and gravity amplitudes with up to three massive particles
• Disk Scattering of Open and Closed Strings (I)
• Complete N-Point Superstring Disk Amplitude II. Amplitude and Hypergeometric Function Structure
• Graviton Amplitudes from Collinear Limits of Gauge Amplitudes
• Complete N-Point Superstring Disk Amplitude I. Pure Spinor Computation
• The Ultraviolet Critical Dimension of Half-Maximal Supergravity at Three Loops

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• Explicit BCJ numerators of nonlinear sigma model
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