Helicity basis for three-dimensional conformal field theory
Simon Caron-Huot, Yue-Zhou Li
Abstract
A bstract Three-point correlators of spinning operators admit multiple tensor structures compatible with conformal symmetry. For conserved currents in three dimensions, we point out that helicity commutes with conformal transformations and we use this to construct three-point structures which diagonalize helicity. In this helicity basis, OPE data is found to be diagonal for mean-field correlators of conserved currents and stress tensor. Furthermore, we use Lorentzian inversion formula to obtain anomalous dimensions for conserved currents at bulk tree-level order in holographic theories, which we compare with corresponding flat-space gluon scattering amplitudes.
Topics & Concepts
HelicityConformal mapPhysicsConformal field theoryMathematical physicsConformal symmetryDiagonalConserved quantityTensor (intrinsic definition)Cauchy stress tensorQuantum electrodynamicsQuantum mechanicsMathematicsGeometryBlack Holes and Theoretical PhysicsParticle physics theoretical and experimental studiesCosmology and Gravitation Theories