Celestial superamplitude in $\mathcal{N}=4$ SYM theory

Abstract

Celestial amplitude is a new reformulation of momentum space scattering amplitude and offers a promising way for flat holography. In this paper, we study the celestial amplitude in $\mathcal{N}=4$ Super-Yang-Mills (SYM) theory aiming at understanding the role of superconformal symmetry in celestial holography. We first construct the superconformal generators acting on the celestial superfield which assembles all the on-shell fields in the multiplet together in terms of celestial variables and Grassmann parameters. These generators satisfy the superconformal algebra of $\mathcal{N}=4$ SYM theory. We also compute the three-point and four-point celestial super-amplitude explicitly. They can be identified as the correlation functions of the celestial superfields living at the celestial sphere. We further study the soft and collinear limits which give rise to the super-Ward identity and super-OPE on the celestial sphere, respectively. Our results initiate a new perspective of understanding the well-studied $\mathcal{N}=4$ SYM amplitude via 2D celestial conformal field theory.

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Cited by in corpus (17)

• Lectures on Celestial Amplitudes
• Celestial Operator Product Expansions and ${\mathrm{w}}_{1+\infty }$ Symmetry for All Spins
• Lectures on Celestial Holography
• Celestial operator products from the worldsheet
• Holographic Chiral Algebra: Supersymmetry, Infinite Ward Identities, and EFTs
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• Celestial Superamplitudes
• Conformally Soft Fermions
• Celestial Supersymmetry
• Supersymmetric celestial OPEs and soft algebras from the ambitwistor string worldsheet
• Missing Corner in the Sky: Massless Three-Point Celestial Amplitudes
• The Grassmannian for Celestial Superamplitudes
• Soft and Collinear Limits in $\mathcal{N}=8$ Supergravity using Double Copy Formalism
• Asymptotic Symmetry of Four Dimensional Einstein-Yang-Mills and Einstein-Maxwell Theory
• Celestial OPEs and $w_{1+\infty }$ algebra from worldsheet in string theory
• Loop corrections versus marginal deformation in celestial holography
• The Aharony-Bergman-Jafferis-Maldacena theory on a circle