We give a direct proof of the relation between vacuum singular vectors and conservation laws for the quantum KdV equation or equivalently for φ(1,3)-perturbed conformal field theories. For each degree at which a classical conservation law exists, we find a quantum conserved quantity for a specific value of the central charge. Various generalizations (N = 1,2 supersymmetric, Boussinesq) of this result are presented.
ASJC Scopus subject areas
- Nuclear and High Energy Physics