BRST symmetry and the convolutional double copy

Abstract

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 N $$ \mathcal{N} $$ = 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.

Keywords

• Black Holes
• BRST Quantization
• Scattering Amplitudes
• Supergravity Models