Higher-spin current multiplets in operator-product expansions

Irreducible currents with arbitrary spin are constructed in a general spacetime dimension, in the free-field limit and, at the bare level, in the presence of interactions. For the n -dimensional generalization of the (conformal) vector field, the ( n /2-1)-form is used. Two-point functions and higher-spin central charges are evaluated at one-loop. As an application, the higher-spin hierarchies generated by the stress tensor operator-product expansion are computed in supersymmetric theories. The results exhibit an interesting universality.