Asymptotic Higher Spin Symmetries IV: Einstein-Yang-Mills Theory

Abstract

We generalize the analysis of the asymptotic higher spin symmetries developed in the first three parts of this series by considering the minimal coupling of Einstein Gravity and Yang-Mills theory. We show that there exist symmetry parameters that satisfy a collection of dual equations of motion, which allow the construction of an infinite collection of charges that are conserved in the absence of radiation. These Noether charges act on the Einstein Yang-Mills phase space canonically and non-linearly. Their action defines a symmetry algebroid which reduces to a symmetry algebra at non-radiative cuts and generalizes the celestial $s{w}_{1+\infty }$ algebra. The corresponding symmetry bracket is shown to satisfy the Jacobi identity and an interesting cross-product structure, which is analyzed in details.

57 pages. v2: Typos corrected + eq. 126 added. v3: 58 pages, clarifying comments + summary section 6 added

References in corpus (41)

• On BMS Invariance of Gravitational Scattering
• BMS supertranslations and Weinberg's soft graviton theorem
• Symmetries of asymptotically flat 4 dimensional spacetimes at null infinity revisited
• BMS charge algebra
• Semiclassical Virasoro Symmetry of the Quantum Gravity S-Matrix
• Asymptotic symmetries and subleading soft graviton theorem
• Asymptotic Symmetries of Yang-Mills Theory
• New Gravitational Memories
• Conserved charges of the extended Bondi-Metzner-Sachs algebra
• New symmetries for the Gravitational S-matrix
• Geometry of General Hypersurfaces in Spacetime: Junction Conditions
• Superboost transitions, refraction memory and super-Lorentz charge algebra
• 2D Kac-Moody Symmetry of 4D Yang-Mills Theory
• Soft sub-leading divergences in Yang-Mills amplitudes
• The Weyl BMS group and Einstein's equations
• Constraining subleading soft gluon and graviton theorems
• Generalized BMS charge algebra
• Finite BMS transformations
• Celestial Operator Product Expansions and ${\mathrm{w}}_{1+\infty }$ Symmetry for All Spins
• Infinite Set of Soft Theorems in Gauge-Gravity Theories as Ward-Takahashi Identities
• Einstein-Yang-Mills theory : I. Asymptotic symmetries
• Null Geodesic Congruences, Asymptotically Flat Space-Times and Their Physical Interpretation
• Sub-subleading Soft Graviton Theorem from Asymptotic Einstein's Equations
• Gravity from symmetry: Duality and impulsive waves
• Perturbative gauge theory at null infinity
• Celestial operator products from the worldsheet
• Conservation of asymptotic charges from past to future null infinity: Supermomentum in general relativity
• Infinite Soft Theorems from Gauge Symmetry
• The Double Copy Structure of Soft Gravitons
• Conservation of asymptotic charges from past to future null infinity: Lorentz charges in general relativity
• The Wald-Zoupas prescription for asymptotic charges at null infinity in general relativity
• Radiative phase space extensions at all orders in r for self-dual Yang-Mills and Gravity
• Renormalization of conformal infinity as a stretched horizon
• Celestial $w_{1+\infty }$ charges and the subleading structure of asymptotically-flat spacetimes
• Lie Algebroids and the Geometry of Off-shell BRST
• Asymptotic Higher Spin Symmetries I: Covariant Wedge Algebra in Gravity
• The Generalized Good Cut Equation
• A General Hierarchy of Charges at Null Infinity via the Todd Polynomials
• Celestial $s{w}_{1+\infty }$ algebra in Einstein-Yang-Mills theory
• Asymptotic Higher Spin Symmetries III: Noether Realization in Yang-Mills Theory
• On the Definition of the Spin Charge in Asymptotically-Flat Spacetimes