The Grassmannian for celestial superamplitudes

Livia Ferro; Robert Moerman

doi:10.1007/jhep11(2021)187

The Grassmannian for celestial superamplitudes

Livia Ferro, Robert Moerman

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Abstract

Recently, scattering amplitudes in four-dimensional Minkowski spacetime have been interpreted as conformal correlation functions on the two-dimensional celestial sphere, the so-called celestial amplitudes. In this note we consider tree-level scattering amplitudes in N = 4 super Yang-Mills theory and present a Grassmannian formulation of their celestial counterparts. This result paves the way towards a geometric picture for celestial superamplitudes, in the spirit of positive geometries.

Original language	English
Article number	187
Number of pages	11
Journal	Journal of High Energy Physics (JHEP)
Volume	2021
Issue number	11
Early online date	25 Nov 2021
DOIs	https://doi.org/10.1007/jhep11(2021)187
Publication status	E-pub ahead of print - 25 Nov 2021

Keywords

Regular Article - Theoretical Physics
Scattering Amplitudes
Supersymmetric Gauge Theory

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10.1007/jhep11(2021)187Licence: CC BY

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© The Authors. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), https://creativecommons.org/licenses/by/4.0/
Final published version, 257 KBLicence: CC BY

Cite this

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PY - 2021/11/25

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N2 - Recently, scattering amplitudes in four-dimensional Minkowski spacetime have been interpreted as conformal correlation functions on the two-dimensional celestial sphere, the so-called celestial amplitudes. In this note we consider tree-level scattering amplitudes in N = 4 super Yang-Mills theory and present a Grassmannian formulation of their celestial counterparts. This result paves the way towards a geometric picture for celestial superamplitudes, in the spirit of positive geometries.

AB - Recently, scattering amplitudes in four-dimensional Minkowski spacetime have been interpreted as conformal correlation functions on the two-dimensional celestial sphere, the so-called celestial amplitudes. In this note we consider tree-level scattering amplitudes in N = 4 super Yang-Mills theory and present a Grassmannian formulation of their celestial counterparts. This result paves the way towards a geometric picture for celestial superamplitudes, in the spirit of positive geometries.

KW - Regular Article - Theoretical Physics

KW - Scattering Amplitudes

KW - Supersymmetric Gauge Theory

U2 - 10.1007/jhep11(2021)187

DO - 10.1007/jhep11(2021)187

M3 - Article

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JO - Journal of High Energy Physics (JHEP)

JF - Journal of High Energy Physics (JHEP)

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ER -

The Grassmannian for celestial superamplitudes

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Keywords

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