Yang-Mills origin of gravitational symmetries

Abstract

By regarding gravity as the convolution of left and right Yang-Mills theories together with a spectator scalar field in the bi-adjoint representation, we derive in linearised approximation the gravitational symmetries of general covariance, p-form gauge invariance, local Lorentz invariance and local supersymmetry from the flat space Yang-Mills symmetries of local gauge invariance and global super-Poincaré. As a concrete example we focus on the new-minimal (12+12) off-shell version of simple four-dimensional supergravity obtained by tensoring the off-shell Yang-Mills multiplets (4+4,N_L =1)and(3+0,N_R =0).

References added plus minor revisions

References in corpus (3)

• New Relations for Gauge-Theory Amplitudes
• Ambitwistor strings in 4-dimensions
• Generating Tree Amplitudes in N=4 SYM and N=8 SG

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• Alternative formulations of the twistor double copy
• Conformal Gravity from Gauge Theory
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• The double copy: from optics to quantum gravity
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• Multi-centered $\mathcal{N}=2$ BPS black holes: a double copy description
• On-Shell Perspectives on the Massless Limit of Massive Supergravity