BRST Symmetry and the Convolutional Double Copy

Abstract

Motivated by the results of Anastasiou et al., we consider the convolutional double copy for BRST and anti-BRST covariant formulations of gravitational and gauge theories in more detail. We give a general BRST and anti-BRST invariant formulation of linearised $\mathcal{N}=0$ supergravity using superspace methods and show how this may be obtained from the square of linearised Yang-Mills theories. We demonstrate this relation for the Schwarzschild black hole and the ten-dimensional black string solution as two concrete examples.

35 pages

References in corpus (5)

• New Relations for Gauge-Theory Amplitudes
• Black holes and the double copy
• Yang-Mills origin of gravitational symmetries
• A double copy for $\mathcal{N}=2$ supergravity: a linearised tale told on-shell
• BRST, anti-BRST and gerbes