Integrable Field Theories and Their CCFT Duals

Abstract

We compute the Mellin transforms of various two-dimensional integrable $S$-matrices, providing the first explicit, non-perturbative realizations of celestial CFT. In two dimensions, the Mellin transform is simply the Fourier transform in rapidity space, and the "celestial correlator" has no position dependence. The simplified setting allows us to study the analytic properties of CCFT correlators exactly as a function of the conformal dimensions. We find that the correlators exist as real distributions of the conformal weights, with asymptotics controlled by the mass spectrum and three-point couplings of the model. Coupling these models to a flat space limit of JT gravity preserves integrability and dresses the amplitudes by a rapidly varying gravitational phase. We find that the coupling to gravity smooths out certain singular aspects of the Mellin-transformed correlators.

arXiv comment26 pages, 2 figures

References in corpus (33)

• Black holes and the butterfly effect
• Aspects of the BMS/CFT correspondence
• The BMS/GCA correspondence
• A Conformal Basis for Flat Space Amplitudes
• Asymptotic Fragility, Near $Ad{S}_2$ Holography and $T\bar{T}$
• A holographic reduction of Minkowski space-time
• Gluon Amplitudes as 2d Conformal Correlators
• Holographic Symmetry Algebras for Gauge Theory and Gravity
• Holographic Renormalization of Asymptotically Flat Spacetimes
• The S-matrix Bootstrap II: Two Dimensional Amplitudes
• Celestial Amplitudes from UV to IR
• Natural Tuning: Towards A Proof of Concept
• Celestial Operator Product Expansions and ${\mathrm{w}}_{1+\infty }$ Symmetry for All Spins
• Tree-level gluon amplitudes on the celestial sphere
• Strings on Celestial Sphere
• Celestial holography meets twisted holography: 4d amplitudes from chiral correlators
• Celestial Amplitudes: Conformal Partial Waves and Soft Limits
• Rigorous steps towards holography in asymptotically flat spacetimes
• Root Systems and Purely Elastic S-Matrices II
• Conformal Block Expansion in Celestial CFT
• MHV Gluon Scattering Amplitudes from Celestial Current Algebras
• Conformal Blocks from Celestial Gluon Amplitudes
• A $d$-Dimensional Stress Tensor for Mink${}_{d+2}$ Gravity
• Celestial operator products from the worldsheet
• Loops on the Celestial Sphere
• On Effective Field Theories with Celestial Duals
• Celestial holography on Kerr-Schild backgrounds
• Celestial Liouville Theory for Yang-Mills Amplitudes
• Conformal Blocks from Celestial Gluon Amplitudes II: Single-valued Correlators
• Loop-level gluon OPEs in celestial holography
• Four-point correlators of light-ray operators in CCFT
• Notes on Resonances and Unitarity from Celestial Amplitudes
• Celestial amplitude for 2d theory

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• Flat limit of AdS/CFT from AdS geodesics: scattering amplitudes and antipodal matching of Liénard-Wiechert fields
• Flat limit of massless scalar scattering in ${\mathrm{AdS}}_2$