Radiative phase space extensions at all orders in r for self-dual Yang-Mills and Gravity

Abstract

Working in the self-dual sector for Yang-Mills and gravity, we show how to construct an extended phase space at null infinity, to all orders in the radial expansion. This formalises the symmetry origin of the infrared behaviour of these theories to all sub-leading orders. As a corollary, we also derive a double copy mapping from a subset of YM gauge transformations to a subset of diffeomorphisms to all orders in the transformation parameters, which to our knowledge has not been presented before in the literature.

35 pages, 2 figures

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Cited by in corpus (10)

• From Moyal deformations to chiral higher-spin theories and to celestial algebras
• Isometries and the double copy
• Gauge independent kinematic algebra of self-dual Yang-Mills theory
• $\mathcal{O}(r^N)$ two-form asymptotic symmetries and renormalized charges
• A General Hierarchy of Charges at Null Infinity via the Todd Polynomials
• Weyl-Lewis-Papapetrou coordinates, self-dual Yang-Mills equations and the single copy
• Asymptotic Higher Spin Symmetries III: Noether Realization in Yang-Mills Theory
• Stückelberg path to pure de Sitter supergravity
• Asymptotic Higher Spin Symmetries IV: Einstein-Yang-Mills Theory
• Null infinity as a Killing horizon