Singular vectors and conservation laws of quantum KdV type equations

P. Di Francesco; P. Mathieu

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

Singular vectors and conservation laws of quantum KdV type equations

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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.

Original language	English (US)
Pages (from-to)	79-84
Number of pages	6
Journal	Physics Letters B
Volume	278
Issue number	1-2
DOIs	https://doi.org/10.1016/0370-2693(92)90714-F
State	Published - Mar 19 1992
Externally published	Yes

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1016/0370-2693(92)90714-F

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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.",

author = "{Di Francesco}, P. and P. Mathieu",

note = "Funding Information: Work supported by NSF grant PHY-8512793. Work supported by NSERC (Canada) and FCAR (Quebec).",

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AU - Mathieu, P.

N1 - Funding Information: Work supported by NSF grant PHY-8512793. Work supported by NSERC (Canada) and FCAR (Quebec).

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Y1 - 1992/3/19

N2 - 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.

AB - 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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Singular vectors and conservation laws of quantum KdV type equations

Abstract

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