Singular Vectors and Conservation Laws of Quantum KdV type equations

P. Di Francesco; P. Mathieu

doi:10.1016/0370-2693(92)90714-f

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arXiv · hep-th/9109042

Singular Vectors and Conservation Laws of Quantum KdV type equations

P. Di Francesco·P. Mathieu

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Abstract

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.

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P. Di Francesco, P. Mathieu. 1991-09-24. Singular Vectors and Conservation Laws of Quantum KdV type equations. https://doi.org/10.1016/0370-2693(92)90714-f

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