Asymptotic Symmetries and Celestial CFT

Abstract

We provide a unified treatment of conformally soft Goldstone modes which arise when spin-one or spin-two conformal primary wavefunctions become pure gauge for certain integer values of the conformal dimension $\Delta$. This effort lands us at the crossroads of two ongoing debates about what the appropriate conformal basis for celestial CFT is and what the asymptotic symmetry group of Einstein gravity at null infinity should be. Finite energy wavefunctions are captured by the principal continuous series $\Delta \in 1+i\mathbb{R}$ and form a complete basis. We show that conformal primaries with analytically continued conformal dimension can be understood as certain contour integrals on the principal series. This clarifies how conformally soft Goldstone modes fit in but do not augment this basis. Conformally soft gravitons of dimension two and zero which are related by a shadow transform are shown to generate superrotations and non-meromorphic diffeomorphisms of the celestial sphere which we refer to as shadow superrotations. This dovetails the Virasoro and Diff(S${}^2$) asymptotic symmetry proposals and puts on equal footing the discussion of their associated soft charges, which correspond to the stress tensor and its shadow in the two-dimensional celestial CFT.

arXiv comment29 pages + appendices, 3 figures

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Cited by in corpus (81)

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• Bridging Carrollian and Celestial Holography
• The Weyl BMS group and Einstein's equations
• Celestial Amplitudes from UV to IR
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• Null boundary phase space: slicings, news and memory
• Celestial holography meets twisted holography: 4d amplitudes from chiral correlators
• Isolated Surfaces and Symmetries of Gravity
• Gravitational Edge Modes, Coadjoint Orbits, and Hydrodynamics
• MHV Graviton Scattering Amplitudes and Current Algebra on the Celestial Sphere
• Celestial Diamonds: Conformal Multiplets in Celestial CFT
• The partial Bondi gauge: Further enlarging the asymptotic structure of gravity
• Carrollian Approach to $1+3$D Flat Holography
• Conformal Block Expansion in Celestial CFT
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• BMS Flux Algebra in Celestial Holography
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• Loops on the Celestial Sphere
• State-Operator Correspondence in Celestial Conformal Field Theory
• Coadjoint representation of the BMS group on celestial Riemann surfaces
• Ambidextrous light transforms for celestial amplitudes
• Goldilocks Modes and the Three Scattering Bases
• Celestial holography on Kerr-Schild backgrounds
• Weyl Charges in Asymptotically Locally AdS${}_3$ Spacetimes
• Celestial double copy from the worldsheet
• The Effective Action of Superrotation Modes
• Relativistic partial waves for celestial amplitudes
• Descendants in celestial CFT and emergent multi-collinear factorization
• A note on the representations of $\text{SO}(1,d+1)$
• From Celestial Correlators to AdS, and back
• Subsubleading soft graviton symmetry and MHV graviton scattering amplitudes
• General null asymptotics and superrotation-compatible configuration spaces in $d\ge 4$
• The partial Bondi gauge: Gauge fixings and asymptotic charges
• The structure of IR divergences in celestial gluon amplitudes
• Bulk locality from the celestial amplitude
• Celestial Locality and the Jacobi Identity
• Celestial Leaf Amplitudes
• Conformally Soft Fermions
• A BMS-invariant free fermion model
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• Chaos in Celestial CFT
• Lorentz Symmetry and IR Structure of The BFSS Matrix Model
• Asymptotic symmetries in spatially flat FRW
• AdS correction to the Faddeev-Kulish state: Migrating from the Flat Peninsula
• Light transformed gluon correlators in CCFT
• $p$-Forms on the Celestial Sphere
• Zwanziger's pairwise little group on the celestial sphere
• BMS${}_3$ Mechanics and the Black Hole Interior
• Holography and black holes in asymptotically flat FLRW
• Celestial IR divergences and the effective action of supertranslation modes
• Celestial Gluon Amplitudes from the Outside In
• Fully nonlinear transformations of the Weyl-Bondi-Metzner-Sachs asymptotic symmetry group
• Mapping SYK to the Sky
• The Sky Remembers everything: Celestial amplitude, Shadow and OPE in quadratic EFT of gravity
• Multiparticle Contributions to the Celestial OPE
• Super-Hawking Radiation
• $\widehat{s{l}_2}$ symmetry of ${\mathbb{R}}^{1,3}$ gravity
• A low-energy limit of Yang-Mills theory on de Sitter space
• Charge algebra for non-abelian large gauge symmetries at $O(r)$
• Loop corrections versus marginal deformation in celestial holography
• Entanglement Rényi entropies in celestial holography
• Celestial Eikonal Amplitudes in the Near-Horizon Region
• Asymptotic symmetries and soft theorems in higher-dimensional gravity
• Double-soft limit and celestial shadow OPE from charge bracket
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