On Effective Field Theories with Celestial Duals

Abstract

We show that associativity of the tree-level OPE in a celestial CFT imposes constraints on the coupling constants of the corresponding bulk theory. These constraints are the same as those derived in arXiv:2111.11356 from the Jacobi identity of the algebra of soft modes. The constrained theories are interesting as apparently well-defined celestial CFTs with a deformed $w_{1+\infty }$ symmetry algebra. We explicitly work out the ramifications of these constraints on scattering amplitudes involving gluons, gravitons and scalars in these theories. We find that all four-point amplitudes constructible solely from holomorphic or anti-holomorphic three-point amplitudes vanish on the support of these constraints, which implies that all purely holomorphic or purely anti-holomorphic higher-point amplitudes vanish.

14 pages; v2, v3: minor corrections

References in corpus (6)

• Gluon Amplitudes as 2d Conformal Correlators
• Loop Corrections to Soft Theorems in Gauge Theories and Gravity
• Light-Front Higher-Spin Theories in Flat Space
• On-shell constructibility of tree amplitudes in general field theories
• Proof of the MHV vertex expansion for all tree amplitudes in N=4 SYM theory
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Cited by in corpus (23)

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• The Celestial Chiral Algebra of Self-Dual Gravity on Eguchi-Hanson Space
• From Moyal deformations to chiral higher-spin theories and to celestial algebras
• Loop-level gluon OPEs in celestial holography
• Deforming Soft Algebras for Gauge Theory
• On the associativity of 1-loop corrections to the celestial operator product in gravity
• All-order celestial OPE in the MHV sector
• Celestial Locality and the Jacobi Identity
• Towards higher-spin holography in flat space
• Chiral Higher Spin Gravity and Convex Geometry
• Multicollinear Singularities in Celestial CFT
• Chiral higher-spin holography in flat space: the Flato-Fronsdal theorem and lower-point functions
• All-order celestial OPE from on-shell recursion
• Integrable Field Theories and Their CCFT Duals
• Light transformed gluon correlators in CCFT
• Constraining higher-spin S-matrices
• FiniteFieldSolve: Exactly Solving Large Linear Systems in High-Energy Theory
• Celestial Gluon Amplitudes from the Outside In
• Currents in Celestial CFT
• Celestial $s{w}_{1+\infty }$ algebra in Einstein-Yang-Mills theory
• Double-soft limit and celestial shadow OPE from charge bracket