Quantum Korteweg-de Vries Like Equations and Perturbed Conformal Field Theories

Kupershmidt, B.A.; Mathieu, P.

doi:10.1016/S0370-2693(89)80030-9

Quantum Korteweg-de Vries Like Equations and Perturbed Conformal Field Theories

B.A. Kupershmidt
(
- Tennessee U., Tullahoma
)
,
P. Mathieu
(
- Laval U.
)

Apr, 1989

6 pages

Published in:

Phys.Lett.B 227 (1989) 245-250

Published: 1989

DOI:

10.1016/S0370-2693(89)80030-9

Report number:

Print-89-0360 (LAVAL)

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Abstract: (Elsevier)

Quantum equations of the Kd V type are naturally defined by means of their quantum second hamiltonian structure. The latter defines an ( extended ) Virasoro algebra. The quantum KdV equation ( related to the Virasoro algebra ) and the quantum Boussinesq equation ( related to the W algebra ) are introduced in this way. Their conservation laws appear to correspond to the integrals of motion of particular perturbed conformal field theories.

DIFFERENTIAL EQUATIONS: KORTEWEG-DE VRIES
DIFFERENTIAL EQUATIONS: BOUSSINESQ
DIFFERENTIAL EQUATIONS: INTEGRABILITY
ALGEBRA: VIRASORO
ALGEBRA: W
FIELD THEORY: CONFORMAL
CONSERVATION LAW
MODEL: POTTS

References(21)

Figures(0)

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