Celestial Yang-Mills Amplitudes and D=4 Conformal Blocks
arXiv:2206.08979 · doi:10.1007/JHEP09(2022)182
Abstract
We discuss the properties of recently constructed "single-valued" celestial four-gluon amplitudes. We show that the amplitude factorizes into the "current" part and the "scalar" part. The current factor is given by the group-dependent part of the Wess-Zumino-Witten correlator of four holomorphic currents with a non-vanishing level of Kač-Moody algebra. The scalar factor can be expressed in terms of a complex integral of the Koba-Nielsen form, similar to the integrals describing four-point correlators in Coulomb gas models and, more generally, in the infinite central charge limit of Liouville theory. The scalar part can be also obtained by a dimensional reduction of a single D=4 conformal block and the shadow block from Minkowski space to the celestial sphere.
arXiv comment16 pages
References in corpus (20)
- Perturbative Gauge Theory As A String Theory In Twistor Space
- Conformal Four Point Functions and the Operator Product Expansion
- Conformal Partial Waves and the Operator Product Expansion
- Two and three-point functions in Liouville theory
- Projectors, Shadows, and Conformal Blocks
- A Conformal Basis for Flat Space Amplitudes
- A holographic reduction of Minkowski space-time
- Lectures on Celestial Amplitudes
- Gluon Amplitudes as 2d Conformal Correlators
- 4D Scattering Amplitudes and Asymptotic Symmetries from 2D CFT
- Symmetries of Celestial Amplitudes
- MHV Gluon Scattering Amplitudes from Celestial Current Algebras
- Conformal Blocks from Celestial Gluon Amplitudes
- Dimensional Reduction for Conformal Blocks
- Implications of N=1 Superconformal Symmetry for Chiral Fields
- Celestial Amplitudes as AdS-Witten Diagrams
- Elements of Celestial Conformal Field Theory
- Celestial Dual Superconformal Symmetry, MHV Amplitudes and Differential Equations
- Conformal Blocks from Celestial Gluon Amplitudes II: Single-valued Correlators
- Random Field Ising Model and Parisi-Sourlas Supersymmetry I. Supersymmetric CFT