Celestial Amplitudes as AdS-Witten Diagrams

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.

arXiv comment16 pages, 3 figures. Version to appear in the Journal of High Energy Physics

References in corpus (16)

• MHV Vertices And Tree Amplitudes In Gauge Theory
• Semiclassical Virasoro Symmetry of the Quantum Gravity S-Matrix
• Flat Space Amplitudes and Conformal Symmetry of the Celestial Sphere
• Graviton exchange and complete 4-point functions in the AdS/CFT correspondence
• Lectures on Celestial Amplitudes
• MHV Rules for Higgs Plus Multi-Gluon Amplitudes
• Holographic Symmetry Algebras for Gauge Theory and Gravity
• Witten Diagrams Revisited: The AdS Geometry of Conformal Blocks
• Conformally Soft Theorem in Gauge Theory
• From Twistor Actions to MHV Diagrams
• Celestial holography meets twisted holography: 4d amplitudes from chiral correlators
• $(2,2)$ Scattering and the Celestial Torus
• Conformal Block Expansion in Celestial CFT
• Elements of Celestial Conformal Field Theory
• Anatomy of Geodesic Witten Diagrams
• Descendants in celestial CFT and emergent multi-collinear factorization

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• Deforming Soft Algebras for Gauge Theory
• Celestial Leaf Amplitudes
• Shadow Celestial Amplitude
• Celestial Yang-Mills Amplitudes and D=4 Conformal Blocks
• Celestial Supersymmetry
• Spectral representation in Klein space: simplifying celestial leaf amplitudes
• Celestial Gluon Amplitudes from the Outside In
• The Sky Remembers everything: Celestial amplitude, Shadow and OPE in quadratic EFT of gravity
• Celestial Eikonal Amplitudes in the Near-Horizon Region
• Entanglement Rényi entropies in celestial holography
• Quantum field theory in flat spacetime with multiple time directions
• A Celestial Description of Planar Super-Yang-Mills Theory