We construct a basis of conformal primary wavefunctions (CPWs) for p-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 p-form CPWs, we observe the existence of pure gauge wavefunctions of conformal dimension increment = p, while shadow p-forms of this weight are only pure gauge in the critical spacetime dimension value D = 2p + 2. We then provide a systematic technique to obtain the large -r asymptotic limit near .Q 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 = 4, this allows us to reformulate in a conformal primary language the links between scalars and dual two-forms.

p-forms on the celestial sphere / Donnay, Laura; Esmaeili, Erfan; Heissenberg, Carlo. - In: SCIPOST PHYSICS. - ISSN 2542-4653. - 15:1(2023). [10.21468/SciPostPhys.15.1.026]

p-forms on the celestial sphere

Laura Donnay;Carlo Heissenberg
2023-01-01

Abstract

We construct a basis of conformal primary wavefunctions (CPWs) for p-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 p-form CPWs, we observe the existence of pure gauge wavefunctions of conformal dimension increment = p, while shadow p-forms of this weight are only pure gauge in the critical spacetime dimension value D = 2p + 2. We then provide a systematic technique to obtain the large -r asymptotic limit near .Q 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 = 4, this allows us to reformulate in a conformal primary language the links between scalars and dual two-forms.
2023
15
1
026
10.21468/SciPostPhys.15.1.026
http://arxiv.org/abs/2212.03060v1
Donnay, Laura; Esmaeili, Erfan; Heissenberg, Carlo
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/135856
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