Celestial Dual Superconformal Symmetry, MHV Amplitudes and Differential Equations

Abstract

Celestial and momentum space amplitudes for massless particles are related to each other by a change of basis provided by the Mellin transform. Therefore properties of celestial amplitudes have counterparts in momentum space amplitudes and vice versa. In this paper, we study the celestial avatar of dual superconformal symmetry of $\mathcal{N}=4$ Yang-Mills theory. We also analyze various differential equations known to be satisfied by celestial $n$-point tree-level MHV amplitudes and identify their momentum space origins.

References in corpus (14)

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• Gluon Amplitudes as 2d Conformal Correlators
• 4D Scattering Amplitudes and Asymptotic Symmetries from 2D CFT
• Symmetries of Celestial Amplitudes
• Conformal Block Expansion in Celestial CFT
• Conformal Blocks from Celestial Gluon Amplitudes
• Notes on Conformal Soft Theorems and Recursion Relations in Gravity
• State-Operator Correspondence in Celestial Conformal Field Theory
• Non-abelian infrared divergences on the celestial sphere
• Celestial superamplitude in $\mathcal{N}=4$ SYM theory
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• Celestial Superamplitudes
• w(1+infinity) and the Celestial Sphere

Cited by in corpus (18)

• Lectures on Celestial Amplitudes
• Lectures on Celestial Holography
• Elements of Celestial Conformal Field Theory
• Ambidextrous light transforms for celestial amplitudes
• Celestial Liouville Theory for Yang-Mills Amplitudes
• Conformal Blocks from Celestial Gluon Amplitudes II: Single-valued Correlators
• Conformally Soft Fermions
• Celestial Yang-Mills Amplitudes and D=4 Conformal Blocks
• (Chiral) Virasoro invariance of the tree-level MHV graviton scattering amplitudes
• Celestial Recursion
• Celestial Supersymmetry
• Supersymmetric celestial OPEs and soft algebras from the ambitwistor string worldsheet
• All-order celestial OPE from on-shell recursion
• The Grassmannian for Celestial Superamplitudes
• Celestial OPE blocks
• Loop corrections versus marginal deformation in celestial holography
• Celestial Holography
• The Aharony-Bergman-Jafferis-Maldacena theory on a circle