Yang-Mills origin of gravitational symmetries
A. Anastasiou, L. Borsten, M. J. Duff, L. J. Hughes, S. Nagy
TL;DR
By regarding gravity as the convolution of left and right Yang-Mills theories together with a spectator scalar field in the biadjoint representation, the gravitational symmetries of general covariance, p-form gauge invariance, local Lorentz invariance and local supersymmetry are derived.
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).