COVARIANT LAX OPERATORS AND KAC-MOODY ALGEBRAS

被引：5

作者：

DAS, A ^{[1
]}

ROY, S ^{[1
]}

机构：

[1] UNIV ROCHESTER,DEPT PHYS & ASTRON,ROCHESTER,NY 14627

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 1991年 / 32卷 / 04期

关键词：

D O I：

10.1063/1.529345

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

It will be shown that covariantizing the Lax operators with a "time" independent non-Abelian gauge connection leaves the dynamical equations invariant. However, the symmetries associated with the Schrodinger equation in such a case is enlarged. This is used to give a simple derivation of various Kac-Moody algebras associated with such Lax operators.

引用

页码：869 / 874

页数：6

共 34 条

[1]

ADLER M, 1979, INVENT MATH, V50, P219

[2] PATH INTEGRAL QUANTIZATION OF THE COADJOINT ORBITS OF THE VIRASORO GROUP AND 2-D GRAVITY [J].

ALEKSEEV, A ;

SHATASHVILI, S .

NUCLEAR PHYSICS B, 1989, 323 (03) :719-733

[3]

[Anonymous], SOLITONS

[4] EXTENDED CONFORMAL-SYMMETRIES AND U(1) CURRENTS [J].

BAKAS, I ;

KAKAS, AC .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1989, 22 (09) :1451-1458

[5] SYSTEMATIC-APPROACH TO CONFORMAL SYSTEMS WITH EXTENDED VIRASORO SYMMETRIES [J].

BILAL, A ;

GERVAIS, JL .

PHYSICS LETTERS B, 1988, 206 (03) :412-420

[6]

DAS A, 1990, UR1151 U ROCH PREPR

[7]

Das A., 1989, INTEGRABLE MODELS, DOI DOI 10.1142/0858

[8]

Drazin P.G., 1983, SOLITONS

[9]

Fadeev L D, 1987, HAMILTONIAN METHODS

[10]

FADEEV LD, 1976, J SOVIET MATH, V5, P334

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