Are all supergravity theories Yang-Mills squared?

Abstract

Using simple symmetry arguments we classify the ungauged $D=4$, $\mathcal{N}=2$ supergravity theories, coupled to both vector and hyper multiplets through homogeneous scalar manifolds, that can be built as the product of $\mathcal{N}=2$ and $\mathcal{N}=0$ matter-coupled Yang-Mills gauge theories. This includes all such supergravities with two isolated exceptions: pure supergravity and the $T^3$ model.

arXiv comment22 pages

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• Gravity as Gauge Theory Squared: A Ghost Story
• Effective action of dilaton gravity as the classical double copy of Yang-Mills theory
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• Gauge $\times$ Gauge on Spheres
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• A Vertex Operator Algebra Construction of the Colour-Kinematics Dual numerator
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• Symmetrization of Jordan dialgebras
• The Magic Star of Exceptional Periodicity
• BCJ, worldsheet quantum algebra and KZ equations
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• The Weyl double copy from twistor space
• BCJ Amplitude Relations for Anti-de Sitter Boundary Correlators in Embedding Space
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