Singular Vectors and Conservation Laws of Quantum KdV type equations

Details Singular Vectors and Conservation Laws of Quantum KdV type equations Singular Vectors and Conservation Laws of Quantum KdV type equations

1991-09-24

arxiv.org/abs/hep-th/9109042v1

Phys. Lett. B278 (1992) 79

Physics

High Energy Physics

High Energy Physics - Theory

9 pages

Scientific paper

10.1016/0370-2693(92)90714-F

We give a direct proof of the relation between vacuum singular vectors and conservation laws for the quantum KdV equation or equivalently for $\Phi_{(1,3)}$-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.

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