A spinorial double copy for $\mathcal{N}=0$ supergravity

Abstract

The Weyl double copy is a formula relating solutions of scalar, gauge and gravity theories, and is related to the BCJ double copy for scattering amplitudes. The latter relates Yang-Mills theory to $\mathcal{N}=0$ supergravity, where an axion and dilaton are present in addition to the graviton. However, the traditional Weyl double copy applies only to pure gravity solutions, such that it remains to be seen whether or not it can be extended to the full spectrum of $\mathcal{N}=0$ supergravity. We examine this question using recently developed twistor methods, showing that some sort of double copy formula for $\mathcal{N}=0$ supergravity is indeed possible for certain solutions. However, it differs both from the traditional Weyl double copy form, and recent conjectures aimed at generalising the Weyl double copy to non-vacuum solutions.

27 pages

References in corpus (14)

• Black holes and the double copy
• The Kinematic Algebra From the Self-Dual Sector
• The Kerr-Schild double copy in curved spacetime
• Yang-Mills origin of gravitational symmetries
• A Twistorial Foundation for the Classical Double Copy
• The Classical Double Copy of a Point Charge
• Extended solutions for the biadjoint scalar field
• Heterotic Kerr-Schild Double Field Theory and Classical Double Copy
• Strings, extended objects, and the classical double copy
• Color-Kinematics Duality and the Regge Limit of Inelastic Amplitudes
• Unfolded Description of $Ad{S}_4$ Kerr Black Hole
• Alternative formulations of the twistor double copy
• Anti-Self-Dual Spacetimes, Gravitational Instantons and Knotted Zeros of the Weyl Tensor
• The double copy: from optics to quantum gravity