Unraveling conformal gravity amplitudes

Abstract

Conformal supergravity amplitudes are obtained from the double-copy construction using gauge-theory amplitudes, and compared to direct calculations starting from conformal supergravity Lagrangians. We consider several different theories: minimal $\mathcal{N}=4$ conformal supergravity, non-minimal $\mathcal{N}=4$ Berkovits-Witten conformal supergravity, mass-deformed versions of these theories, as well as supersymmetry truncations thereof. Coupling the theories to a Yang-Mills sector is also considered. For all cases we give the gravity Lagrangians that the double copy implicitly generates. The two main results are: we determine a Lagrangian for the non-minimal Berkovits-Witten theory, and we uncover the double-copy prescription for the minimal $\mathcal{N}=4$ conformal supergravity.

arXiv comment32 pages, plus appendices and references; v2 minor changes

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• Cosmological Correlators, In-In Formalism and Double Copy
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• Quantum gravity phenomenology from the perspective of quantum general relativity and quadratic gravity
• Tree-level scattering amplitudes in nonlocal field theories
• Leading singularities in higher-derivative Yang-Mills theory and quadratic gravity