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...

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Bibliographic Details
Main Authors: Eduardo Casali, Walker Melton, Andrew Strominger
Format: Article
Language:English
Published: SpringerOpen 2022-11-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP11(2022)140
Description
Summary: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 MHV celestial amplitudes are completely finite (apart from the usual soft and collinear divergences and isolated poles in the sum of the weights) and take the canonical CFT form. Moreover, we show they can be simply rewritten in terms of AdS3-Witten contact diagrams which evaluate to the well-known D-functions, thereby forging a direct connection between flat and AdS holography.
ISSN:1029-8479