SINGULAR VECTORS AND CONSERVATION-LAWS OF QUANTUM KDV-TYPE EQUATIONS

被引：11

作者：

DIFRANCESCO, P ^{[1
]}

MATHIEU, P ^{[1
]}

机构：

[1] UNIV LAVAL,DEPT PHYS,QUEBEC CITY G1K 7P4,QUEBEC,CANADA

来源：

PHYSICS LETTERS B | 1992年 / 278卷 / 1-2期

基金：

加拿大自然科学与工程研究理事会; 美国国家科学基金会;

关键词：

D O I：

10.1016/0370-2693(92)90714-F

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

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.

引用

页码：79 / 84

页数：6

共 25 条

[1] EXTENSIONS OF THE VIRASORO ALGEBRA CONSTRUCTED FROM KAC-MOODY ALGEBRAS USING HIGHER-ORDER CASIMIR INVARIANTS [J].

BAIS, FA ;

BOUWKNEGT, P ;

SURRIDGE, M ;

SCHOUTENS, K .

NUCLEAR PHYSICS B, 1988, 304 (02) :348-370

[2] COVARIANT DIFFERENTIAL-EQUATIONS AND SINGULAR VECTORS IN VIRASORO REPRESENTATIONS [J].

BAUER, M ;

DIFRANCESCO, P ;

ITZYKSON, C ;

ZUBER, JB .

NUCLEAR PHYSICS B, 1991, 362 (03) :515-562

[3] DEGENERATE CONFORMAL FIELD-THEORIES AND EXPLICIT EXPRESSIONS FOR SOME NULL VECTORS [J].

BENOIT, L ;

SAINTAUBIN, Y .

PHYSICS LETTERS B, 1988, 215 (03) :517-522

[4]

Drinfel'd V. G., 1985, J SOV MATH, V30, P1975, DOI DOI 10.1007/BF02105860

[5] SINE-GORDON THEORY AT RATIONAL VALUES OF THE COUPLING-CONSTANT AND MINIMAL CONFORMAL MODELS [J].

EGUCHI, T ;

YANG, SK .

PHYSICS LETTERS B, 1990, 235 (3-4) :282-286

[6] DEFORMATIONS OF CONFORMAL FIELD-THEORIES AND SOLITON-EQUATIONS [J].

EGUCHI, T ;

YANG, SK .

PHYSICS LETTERS B, 1989, 224 (04) :373-378

[7] CONFORMAL QUANTUM-FIELD THEORY MODELS IN 2 DIMENSIONS HAVING Z3 SYMMETRY [J].

FATEEV, VA ;

ZAMOLODCHIKOV, AB .

NUCLEAR PHYSICS B, 1987, 280 (04) :644-660

[8]

FEIGIN BL, 1983, FUNCT ANAL APPL+, V17, P241

[9] INTEGRABLE DEFORMATIONS AND SCATTERING MATRICES FOR THE N=2 SUPERSYMMETRIC DISCRETE-SERIES [J].

FENDLEY, P ;

MATHUR, SD ;

VAFA, C ;

WARNER, NP .

PHYSICS LETTERS B, 1990, 243 (03) :257-264

[10] N = 2 SUPERSYMMETRIC INTEGRABLE MODELS FROM AFFINE TODA THEORIES [J].

FENDLEY, P ;

LERCHE, W ;

MATHUR, SD ;

WARNER, NP .

NUCLEAR PHYSICS B, 1991, 348 (01) :66-88

← 1 2 3 →