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Celestial Amplitudes as AdS-Witten Diagrams

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arxiv 2204.10249 v2 pith:WI346OQ5 submitted 2022-04-21 hep-th

Eduardo Casali , Walker Melton , Andrew Strominger This is my paper · ORCID
classification hep-th
keywords celestialamplitudesinvariancediagramsdivergencesresultingscalespacetime
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abstract

Both celestial and momentum space amplitudes in four dimensions are beset by divergences resulting from spacetime translation and sometimes scale invariance. In this paper we consider a (linearized) marginal deformation of the celestial CFT for Yang-Mills theory which preserves 2D conformal invariance but breaks both spacetime translation and scale invariance and involves a chirally coupled massive scalar. The resulting celestial amplitudes are completely finite (apart from the usual soft and collinear divergences) and take the canonical CFT form. Moreover, we show they can be simply rewritten in terms of AdS$_3$-Witten contact diagrams which evaluate to the well-known $D$-functions, thereby forging a direct connection between flat and AdS holography.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Conformal Partial Wave Expansion of Celestial Correlators

    hep-th 2025-02 conditional novelty 7.0 of 10

    Celestial correlators in Minkowski space admit conformal partial wave expansions with meromorphic spectral densities, enabling conformal block expansions that simplify dramatically for massless scalars.

  2. MHV leaf amplitudes from parafermions

    hep-th 2025-01 conditional novelty 6.0 of 10

    A dual 2D CFT description of MHV leaf amplitudes using non-compact parafermions is shown to reproduce the known dressed Liouville realization.

  3. Celestial Chiral Algebras and Self-Dual Gravity

    hep-th 2025-07 conditional novelty 4.0 of 10

    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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