Asymptotic Higher Spin Symmetries III: Noether Realization in Yang-Mills Theory
arXiv:2501.08856 · doi:10.1007/s11005-025-02027-7
Abstract
We construct a non-perturbative action of the higher spin symmetry algebra on the asymptotic Yang-Mills phase space. We introduce a symmetry algebroid which admits a realization on the asymptotic phase space generated by a Noether charge defined non-perturbatively for all spins. This Noether charge is naturally conserved in the absence of radiation. Furthermore, the algebroid can be restricted to the covariant wedge symmetry algebra, which we analyze for non radiative cuts. The key ingredient in this construction is to consider field and time dependent symmetry parameters constrained to evolve according to equations of motion dual to (a truncation of) the asymptotic Yang-Mills equations of motion. This result then guarantees that the underlying symmetry algebra is represented canonically as well.
28 pages. v2: Typos corrected and Ref added. Comment about holomorphic AS symplectic potential. v3: typos corrected. v4: typos corrected
References in corpus (38)
- On BMS Invariance of Gravitational Scattering
- Aspects of the BMS/CFT correspondence
- BMS supertranslations and Weinberg's soft graviton theorem
- New Symmetries of Massless QED
- Local subsystems in gauge theory and gravity
- Asymptotic Symmetries of Yang-Mills Theory
- Low's Subleading Soft Theorem as a Symmetry of QED
- Geometry of General Hypersurfaces in Spacetime: Junction Conditions
- 2D Kac-Moody Symmetry of 4D Yang-Mills Theory
- Loop Corrections to Soft Theorems in Gauge Theories and Gravity
- Soft sub-leading divergences in Yang-Mills amplitudes
- Edge modes of gravity -- I: Corner potentials and charges
- Classical and Quantum Results on Logarithmic Terms in the Soft Theorem in Four Dimensions
- Conformally Soft Theorem in Gauge Theory
- Constraining subleading soft gluon and graviton theorems
- Hard-Soft-Collinear Factorization to All Orders
- Subleading soft photons and large gauge transformations
- Soft Photon and Graviton Theorems in Effective Field Theory
- Infinite Set of Soft Theorems in Gauge-Gravity Theories as Ward-Takahashi Identities
- Color Memory
- Sub-subleading Soft Graviton Theorem from Asymptotic Einstein's Equations
- Perturbative gauge theory at null infinity
- Coadjoint representation of the BMS group on celestial Riemann surfaces
- Infinite Soft Theorems from Gauge Symmetry
- Soft Limits of Yang-Mills Amplitudes and Conformal Correlators
- Loop Corrected Soft Photon Theorem as a Ward Identity
- A note on gauge systems from the point of view of Lie algebroids
- The Double Copy Structure of Soft Gravitons
- Asymptotic Symmetries and Subleading Soft Photon Theorem in Effective Field Theories
- Celestial Symmetries from Twistor Space
- Asymptotic charges in massless QED revisited: A view from Spatial Infinity
- Deforming Soft Algebras for Gauge Theory
- Asymptotic Symmetries in -Dimensional Gauge Theories
- Conservation Laws from Asymptotic Symmetry and Subleading Charges in QED
- Radiative phase space extensions at all orders in r for self-dual Yang-Mills and Gravity
- Lie Algebroids and the Geometry of Off-shell BRST
- New Asymptotic Conservation laws for Electromagnetism
- The Generalized Good Cut Equation