p-forms on the celestial sphere

Abstract

We construct a basis of conformal primary wavefunctions (CPWs) for pp-form fields in any dimension, calculating their scalar products and exhibiting the change of basis between conventional plane wave and CPW mode expansions. We also perform the analysis of the associated shadow transforms. For each family of pp-form CPWs, we observe the existence of pure gauge wavefunctions of conformal dimension \Delta=pΔ=p, while shadow pp-forms of this weight are only pure gauge in the critical spacetime dimension value D=2p+2D=2p+2. We then provide a systematic technique to obtain the large-rr asymptotic limit near \mathscr Iℐ based on the method of regions, which naturally takes into account the presence of both ordinary and contact terms on the celestial sphere. In D=4D=4, this allows us to reformulate in a conformal primary language the links between scalars and dual two-forms.

Carrollian conformal correlators and massless scattering amplitudes

“…Note that similar issues in celestial holography are avoided by looking at time-ordered correlators rather than scattering amplitudes[38].2 Similar observations have been made in[40,41].…”

An embedding space approach to Carrollian CFT correlators for flat space holography

“…We note that this is of the form of a bulk to boundary propagator in euclidean AdS3 if we set σ1 = σ2, e.g.,[3,81] 7. For a careful analysis of the expression (3.5) using the method of regions, see[87].…”