Chiral higher-spin holography in flat space: the Flato-Fronsdal theorem and lower-point functions

Abstract

We prove the flat space analogue of the Flato-Fronsdal theorem. It features the flat space singleton representation suggested recently. We do that by deriving a kernel that intertwines a pair of singleton representations with massless higher-spin fields in flat space. Next, we derive two-point functions of flat space singletons, which are then used to construct two- and three-point scattering amplitudes in the dual theory of massless higher-spin fields. These amplitudes agree with amplitudes in the chiral higher-spin theory.

v3: 18 pages, minor corrections, references added

References in corpus (10)

• Lectures on Celestial Amplitudes
• Light-Front Higher-Spin Theories in Flat Space
• Chiral Higher Spin Theories and Self-Duality
• The SAGEX Review on Scattering Amplitudes, Chapter 11: Soft Theorems and Celestial Amplitudes
• A Note on (Non)-Locality in Holographic Higher Spin Theories
• On Effective Field Theories with Celestial Duals
• Celestial Liouville Theory for Yang-Mills Amplitudes
• Off-Shell Spinor-Helicity Amplitudes from Light-Cone Deformation Procedure
• Minimal models of field theories: Chiral Higher Spin Gravity
• Minimal model of Chiral Higher Spin Gravity

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• Radiation in Fluid/Gravity and the Flat Limit
• On correlation functions as higher-spin invariants
• Nonperfect Carrollian Fluids Through Holography
• Why Poincare symmetry is a good approximate symmetry in particle theory