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.

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

References in corpus (1)

• From Twistor Actions to MHV Diagrams

Cited by in corpus (17)

• Bridging Carrollian and Celestial Holography
• AdS Witten Diagrams to Carrollian Correlators
• Top-down holography in an asymptotically flat spacetime
• From Celestial Correlators to AdS, and back
• Soft Scalars and the Geometry of the Space of Celestial CFTs
• 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