TY - JOUR

T1 - Singular vectors and conservation laws of quantum KdV type equations

AU - Di Francesco, P.

AU - Mathieu, P.

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

PY - 1992/3/19

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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U2 - 10.1016/0370-2693(92)90714-F

DO - 10.1016/0370-2693(92)90714-F

M3 - Article

AN - SCOPUS:0001899320

VL - 278

SP - 79

EP - 84

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

SN - 0370-2693

IS - 1-2

ER -