Three-point functions of conserved currents in 4D CFT: General formalism for arbitrary spins
Three-point functions of conserved currents in 4D CFT: General formalism for arbitrary spins
We analyze the general structure of the three-point functions involving conserved higher-spin currents ${J}_{s}\ensuremath{\mathrel{:=}}{J}_{\ensuremath{\alpha}(i)\stackrel{\ifmmode \dot{}\else \textperiodcentered \fi{}}{\ensuremath{\alpha}}(j)}$ belonging to any Lorentz representation in four-dimensional conformal field theory. Using the constraints of conformal symmetry and conservation equations, we computationally analyze the general structure of three-point functions $⟨{J}_{{s}_{1}}{J}_{{s}_{2}}^{\ensuremath{'}}{J}_{{s}_{3}}^{\ensuremath{'}\ensuremath{'}}⟩$ for arbitrary spins and …