Double-copy supertranslations
Pietro Ferrero, Dario Francia, Carlo Heissenberg, Matteo Romoli
Abstract
In the framework of the convolutional double copy, we investigate the asymptotic symmetries of the gravitational multiplet stemming from the residual symmetries of its single-copy constituents at null infinity. We show that the asymptotic symmetries of Maxwell fields in <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:mrow><a:mi>D</a:mi><a:mo>=</a:mo><a:mn>4</a:mn></a:mrow></a:math> imply “double-copy supertranslations”, i.e., BMS supertranslations and two-form asymptotic symmetries, together with the existence of infinitely many conserved charges involving the double-copy scalar. With the vector fields in Lorenz gauge, the double-copy parameters display a radial expansion involving logarithmic subleading terms, essential for the corresponding charges to be nonvanishing. Published by the American Physical Society 2024