PIRSA:26060047 Scientific Series Quantum Gravity

DOI10.48660/26060047

Series: Quantum Gravity

Salluce, D.G. (2026). Mixed-helicity sector of celestial symmetries and the shadow transform. Perimeter Institute. https://pirsa.org/26060047

Salluce, Domenico Giuseppe. Mixed-helicity sector of celestial symmetries and the shadow transform. Perimeter Institute, Jun. 04, 2026, https://pirsa.org/26060047 

@misc{ pirsa_PIRSA:26060047,
  doi = {10.48660/26060047},
  url = {https://pirsa.org/26060047},
  author = {Salluce, Domenico Giuseppe},
  keywords = {Quantum Gravity},
  language = {en},
  title = {Mixed-helicity sector of celestial symmetries and the shadow transform},
  publisher = {Perimeter Institute},
  year = {2026},
  month = {jun},
  note = {PIRSA:26060047 see, \url{https://pirsa.org}}
}

Abstract

The asymptotic symmetries of null infinity in asymptotically flat spacetimes can be enhanced to a w1+∞ algebra, when restricting to a single graviton helicity sector. These symmetries were first extracted from the operator product expansion (OPE) of conformal gravitons in celestial holography. They later found a canonical realization in the bracket of an infinite set of higher-spin charges. Combining both helicity sectors in the full theory of gravity presents difficulties from both the canonical and the celestial perspective. In this talk, I will present a covariant phase space analysis of higher-spin gravitational charges and analyze their mixed-helicity bracket. I will show that, when one helicity is restricted to the wedge sector, the bracket reduces to a closed structure, where the shadow transform plays a key role. This framework also yields a dual-mass extension of the BMS algebra in the lower-spin sector. On the celestial side, I will use an existing bracket-OPE correspondence to provide a prescription for resolving the soft-limit ordering ambiguity in doubly-soft mixed-helicity OPEs, and furthermore to compute OPEs of shadow-transformed conformally soft gravitons directly from the canonical side. [Based on https://arxiv.org/abs/2604.12854 and https://arxiv.org/abs/2510.26520]

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