Singular vectors and conservation laws of quantum KdV type equations

P. Di Francesco, P. Mathieu

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish (US)
Pages (from-to)79-84
Number of pages6
JournalPhysics Letters B
Issue number1-2
StatePublished - Mar 19 1992
Externally publishedYes

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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