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Celestial Holography
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abstract
Celestial holography proposes a duality between the gravitational $\mathcal{S}$-matrix and correlators in a conformal field theory living on the celestial sphere. In this white paper, solicited for the 2022 Snowmass process, we review the motivation from asymptotic symmetries, fundamentals of the proposed holographic dictionary, potential applications to experiment and theory, and some important open questions.
Forward citations
Cited by 23 Pith papers
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geoSCET: Soft Theorems from Power Counting
geoSCET derives geometric soft theorems for scalar field theories directly from effective-field-theory power counting and proves they are exact to all orders in perturbation theory when no potential is present.
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The Energy-Momentum-News Complex near Future Null Infinity
A Carroll-covariant energy-momentum-news complex at future null infinity yields Ward identities that generalise the Bondi loss equations, with an anomalous Carroll boost.
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Flat Holography & Holographic Renormalization: Scalar Field
A Hamilton-Jacobi holographic renormalization scheme for scalars in Minkowski space yields a GKPW-style flat holography dictionary: source = scattering data, vev = renormalized momentum, with correlators matching the ...
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Conformal Partial Wave Expansion of Celestial Correlators
Celestial correlators in Minkowski space admit conformal partial wave expansions with meromorphic spectral densities, enabling conformal block expansions that simplify dramatically for massless scalars.
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Twistorial chiral algebras in higher dimensions
Hyperkähler gravity and hyperholomorphic gauge theory in 4m dimensions have chiral algebras Lham(C^{2m}) and Lg[C^{2m}] arising from twistor space and realized as soft symmetry algebras under a 2-sphere collinear limit.
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Celestial Mellin Amplitudes
Celestial correlators in Minkowski space admit a Mellin representation whose amplitudes are meromorphic, with polynomial contacts, double-trace-like exchange poles, and loop diagrams proportional to tree-level exchange.
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Differential Representation for Carrollian Correlators
Scalar Carrollian correlators admit a differential representation in which exchange diagrams are obtained from contact diagrams by commuting translation operators, matching the modified Mellin transform of flat-space ...
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Holographic timelike complexity for de Sitter
Timelike subregion volume complexity in de Sitter grows exponentially early and diverges hyperfast at a maximal duration; near the SdS black hole horizon the divergence is replaced by slower, claimed-nonlinear growth.
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Gravitational Memory Beyond Null Infinity through Finite-Distance Carrollian Screens
Finite-distance null screens carry a Carrollian memory whose leading tracefree large-radius part reproduces the standard Bondi displacement memory in Robinson–Trautman spacetimes.
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CayleyR: Solving the TopSpin puzzle via cycle intersection
A heuristic search method, iterative cycle intersection with distance-guided bridges, finds verified TopSpin move sequences in seconds for tested n up to 16; claims of scaling to n≈20 are not directly demonstrated.
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Celestial Regge theory
Celestial pair correlators in the Regge limit are shown to encode bulk Regge-pole residues, giving a dictionary between celestial CFT OPE data and bulk partial amplitudes (eq. 5.6).
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Energy correlators in four-dimensional gravity
Gravitational energy correlators in four dimensions are computed at one loop, shown to be infrared-finite, and resummed in the back-to-back limit by soft-graviton exponentiation.
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Non-abelian soft radiation data for a celestial theory
Non-abelian soft-emission data imply that celestial OPE coefficients depend on gluon energy fractions, breaking holomorphic factorization and associativity, while single-soft logarithms can be reabsorbed into the runn...
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Sound as a gauge theory and its infrared triangle
Linear acoustic perturbations admit a memory effect that, in a dual Kalb-Ramond formulation, is encoded by large gauge transformations plus a monopole piece.
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Worldsheet CFT$_2$ and Celestial CFT$_2$ : An AdS$_3$-CFT$_2$ perspective
A near-boundary scaling limit of AdS/CFT is proposed to produce celestial CFTs, and the long-string sector of string theory on AdS3 is identified as a Lorentz-only celestial CFT2.
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Across the Horizon: On Gravitational Wave Flux Laws and Tests of Gravity
A dissertation deriving BMS flux laws, using them to test waveform models, and forecasting LISA observations of echoes and a stochastic background.
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On the New Factorizations of Yang-Mills Amplitudes
Tree-level Yang-Mills amplitudes factorize into gluings of lower-point amplitudes when a rectangular set of Mandelstam variables vanishes, and this paper gives a rigorous CHY-based proof.
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Multi-Particle Contributions to the Celestial Algebra in the ${\cal N}=8$ Supergravity
Multi-particle OPEs of single-particle celestial operators with two-particle operators in N=8 supergravity yield ninety-five (anti)commutators of the soft current algebra plus amplitude relations.
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Amplituhedra for generic quantum processes via the TQNN representation of UQC
The paper proposes a formal correspondence between topological quantum neural networks and amplituhedra, claiming generic quantum processes have amplituhedron representations.
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A Supersymmetric $w_{1+\infty}$ Symmetry, the Extended Supergravity and the Celestial Holography
An N=4 supersymmetric w_{1+∞} algebra at λ=1/4 is proposed as the celestial soft current algebra of N=4 SO(4) supergravity, with truncations covering N=2,3 and matter-coupled cases.
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Celestial decomposition of Wigner's particles
Wigner particles decompose uniquely into Lorentz principal-series representations, with explicit translation kernels showing that unitary translations stay within the principal series.
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Celestial Chiral Algebras and Self-Dual Gravity
This thesis derives deformations of celestial chiral algebras in self-dual gravity on curved backgrounds, obtaining W(infinity) on Eguchi-Hanson space, Ldiff_q(C) under Moyal deformation, and a two-parameter deformati...
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Lectures on Carrollian Holography
Massless scattering amplitudes, including gravitons, can be recast as correlators of a carrollian conformal field theory on null infinity, but the non-perturbative bootstrap program remains incomplete.
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