|
Abstract |
We begin by reviewing the colour-kinematics duality of (super) Yang-Mills theory
and its double copy into
(super)gravity.
We then show that off-shell colour-kinematics duality can be made manifest in the
Yang—Mills Batalin–
Vilkovisky action, up to Jacobian counter-terms. This, in turn, implies the
validity of the double copy to all
orders in perturbations theory.
We then describe the mathematical underpinnings of these observations in terms of
Homotopy algebras.
Figuratively, colour-kinematics duality is a symmetry of Yang—Mills in the same
sense that a mug is a donut.
We conclude by discussing generalisations to super Yang-Mills theory, where Sen’s
formalism for self-dual
field strengths emerges automatically. |
