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Celestial Amplitudes as AdS-Witten Diagrams
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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.
Forward citations
Cited by 8 Pith papers
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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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Conformal blocks from celestial graviton amplitudes
The authors construct a single-valued celestial four-graviton correlator from the shadow transform, decompose it into conformal blocks in all channels, and show it is the double copy of the corresponding gluon object.
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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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The Sky Remembers everything: Celestial amplitude, Shadow and OPE in quadratic EFT of gravity
In quadratic gravity, celestial eikonal amplitudes are claimed to be meromorphic rather than distributional, with OPE data extracted from a shadowed correlator.
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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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2d theory for asymptotic dynamics of 4d (self-dual) Einstein gravity
A 2d chiral action on the momentum-space celestial sphere is shown to reproduce BMS and w1+∞ symmetries, stress tensors, and soft dressing of 4d self-dual gravity.
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