1991/09/24 by Philippe Di Francesco, P. Di Francesco, Pierre Mathieu +1 · 2 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Nonlinear Waves and Solitons #hep-th
paper · pdf · doi:10.1016/0370-2693(92)90714-f
published as Phys. Lett. B278 (1992) 79 · 9 pages
arxiv created 1991/09/24 · openalex publication_date 1992/03/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.