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arXiv · 1408.4434

Yang-Mills origin of gravitational symmetries

A. Anastasiou·L. Borsten·M. J. Duff·L. J. Hughes·S. Nagy
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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).

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A. Anastasiou, L. Borsten, M. J. Duff, L. J. Hughes, S. Nagy. 2014-08-26. Yang-Mills origin of gravitational symmetries. https://doi.org/10.1103/physrevlett.113.231606

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