ON DISCRETE SYSMMETRIES OF THE MULTI-BOSON KP HIERARCHIES

被引：7

作者：

ARATYN, H ^{[1
]}

FERREIRA, LA ^{[1
]}

ZIMERMAN, AH ^{[1
]}

机构：

[1] UNESP, INST FIS TEOR, BR-01405900 SAO PAULO, BRAZIL

来源：

PHYSICS LETTERS B | 1994年 / 327卷 / 3-4期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1016/0370-2693(94)90727-7

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We show that the multi-boson KP hierarchies possess a class of discrete symmetries linking them to discrete Toda systems. These discrete symmetries are generated by the similarity transformation of the corresponding Lax operator. This establishes a canonical nature of the discrete transformations. The spectral equation, which defines both the lattice system and the corresponding Lax operator, plays a key role in determining pertinent symmetry structure. We also introduce the concept of the square root lattice leading to a family of new pseudo-differential operators with covariance under additional Backlund transformations.

引用

收藏

页码：266 / 273

页数：8

相关论文

共 24 条

[1] ON 2-CURRENT REALIZATION OF KP HIERARCHY [J].

ARATYN, H ;

FERREIRA, LA ;

GOMES, JF ;

ZIMERMAN, AH .

NUCLEAR PHYSICS B, 1993, 402 (1-2) :85-117

[2] R-MATRIX FORMULATION OF KP HIERARCHIES AND THEIR GAUGE EQUIVALENCE [J].

ARATYN, H ;

NISSIMOV, E ;

PACHEVA, S ;

VAYSBURD, I .

PHYSICS LETTERS B, 1992, 294 (02) :167-176

[3] GENERALIZED MIURA-TRANSFORMATIONS, 2-BOSON KP HIERARCHIES AND THEIR REDUCTION TO KDV HIERARCHIES [J].

ARATYN, H ;

FERREIRA, LA ;

GOMES, JF ;

MEDEIROS, RT ;

ZIMERMAN, AH .

MODERN PHYSICS LETTERS A, 1993, 8 (32) :3079-3091

[4] CONSTRUCTION OF KP HIERARCHIES IN TERMS OF FINITE NUMBER OF FIELDS AND THEIR ABELIANIZATION [J].

ARATYN, H ;

NISSIMOV, E ;

PACHEVA, S .

PHYSICS LETTERS B, 1993, 314 (01) :41-51

[5] TODA AND VOLTERRA LATTICE EQUATIONS FROM DISCRETE SYMMETRIES OF KP HIERARCHIES [J].

ARATYN, H ;

FERREIRA, LA ;

GOMES, JF ;

ZIMERMAN, AH .

PHYSICS LETTERS B, 1993, 316 (01) :85-92

[6] A NEW DEFORMATION OF W-INFINITY AND APPLICATIONS TO THE 2-LOOP WZNW AND CONFORMAL AFFINE TODA MODELS [J].

ARATYN, H ;

FERREIRA, LA ;

GOMES, JF ;

ZIMERMAN, AH .

PHYSICS LETTERS B, 1992, 293 (1-2) :67-71

[7] BEYOND THE LARGE N LIMIT - NONLINEAR W-INFINITY AS SYMMETRY OF THE SL(2,R)/U(1) COSET MODEL [J].

BAKAS, I ;

KIRITSIS, E .

INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 1992, 7 :55-81

[8] MATRIX MODELS WITHOUT SCALING LIMIT [J].

BONORA, L ;

XIONG, CS .

INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 1993, 8 (17) :2973-2992

[9] MULTIFIELD REPRESENTATIONS OF THE KP HIERARCHY AND MULTIMATRIX MODELS [J].

BONORA, L ;

XIONG, CS .

PHYSICS LETTERS B, 1993, 317 (03) :329-340

[10]

BONORA L, 1993, NUCL PHYS B, V405, P191