A double copy for asymptotic symmetries in the self-dual sector

Abstract

We give a double copy construction for the symmetries of the self-dual sectors of Yang-Mills (YM) and gravity, in the light-cone formulation. We find an infinite set of double copy constructible symmetries. We focus on two families which correspond to the residual diffeomorphisms on the gravitational side. For the first one, we find novel non-perturbative double copy rules in the bulk. The second family has a more striking structure, as a non-perturbative gravitational symmetry is obtained from a perturbatively defined symmetry on the YM side. At null infinity, we find the YM origin of the subset of extended Bondi-Metzner-Sachs (BMS) symmetries that preserve the self-duality condition. In particular, holomorphic large gauge YM symmetries are double copied to holomorphic supertranslations. We also identify the single copy of superrotations with certain non-gauge YM transformations that to our knowledge have not been previously presented in the literature.

45 pages, 1 figure, replaced to match published version

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• The SAGEX Review on Scattering Amplitudes, Chapter 11: Soft Theorems and Celestial Amplitudes
• Classical double copy at null infinity
• Off-Shell Color-Kinematics Duality for Chern-Simons
• Celestial chiral algebras, colour-kinematics duality and integrability
• Asymptotic Weyl Double Copy
• From Moyal deformations to chiral higher-spin theories and to celestial algebras
• Einstein-Maxwell theory and the Weyl double copy
• The Off-Shell Recursion for Gravity and the Classical Double Copy for currents
• Alternative formulations of the twistor double copy
• Twistor Space Origins of the Newman-Penrose Map
• Isometries and the double copy
• Non-perturbative aspects of the self-dual double copy
• Gauge independent kinematic algebra of self-dual Yang-Mills theory
• Flat Self-dual Gravity
• Aligned Fields Double Copy to Kerr-NUT-(A)dS
• Double-Copying Self-Dual Yang-Mills Theory to Self-Dual Gravity on Twistor Space
• Radiative phase space extensions at all orders in r for self-dual Yang-Mills and Gravity
• Gauge $\times$ Gauge $=$ Gravity on Homogeneous Spaces using Tensor Convolutions
• The Classical Double Copy for Half-Maximal Supergravities and T-duality
• Double copy for Lagrangians at trilinear order
• Note on the asymptotic structure of Kerr-Schild form
• Classical double copy and higher-spin fields
• Minimal models of field theories: SDYM and SDGR
• Homotopy double copy and the Kawai-Lewellen-Tye relations for the non-abelian and tensor Navier-Stokes equations
• Residual gauge symmetry in light-cone electromagnetism
• The double copy: from optics to quantum gravity
• A General Hierarchy of Charges at Null Infinity via the Todd Polynomials
• $\mathcal{O}(r^N)$ two-form asymptotic symmetries and renormalized charges
• Weyl-Lewis-Papapetrou coordinates, self-dual Yang-Mills equations and the single copy
• Weyl double copy in type D spacetime in four and five dimensions
• Next-to-MHV Yang-Mills kinematic algebra
• The Weyl double copy from twistor space
• Five dimensional Weyl double copy
• Asymptotic symmetries and memories of gauge theories in FLRW spacetimes
• Notes on self-dual gravity
• The Radial Action from Probe Amplitudes to All Orders
• NS-NS Spacetimes from Amplitudes
• Gravity model from (A)dS Yang-Mills theory
• Residual Symmetries and Their Algebras in the Kerr-Schild Double Copy