Toda lattice field theories, discrete W algebras, Toda lattice hierarchies and quantum groups

被引：16

作者：

Bonora, L

Colatto, LP

Constantinidis, CP

机构：

[1] IST NAZL FIS NUCL, TRIESTE, ITALY

[2] INT CTR THEORET PHYS, I-34014 TRIESTE, ITALY

[3] UNIV NACL ESTADUAL SAO PAULO, INST FIS TEOR, BR-01405 SAO PAULO, BRAZIL

来源：

PHYSICS LETTERS B | 1996年 / 387卷 / 04期

基金：

巴西圣保罗研究基金会;

关键词：

Toda field theory; discrete W algebra; Toda lattice hierarchy; N-KdV hierarchy; quantum W algebra;

D O I：

10.1016/0370-2693(96)01106-9

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

In analogy with the Liouville case we study the sl(3) Toda theory on the lattice and define the relevant quadratic algebra and out of it we recover the discrete W-3 algebra. We define an integrable system with respect to the latter and establish the relation with the Toda lattice hierarchy. We compute the relevant continuum limits. Finally we find the quantum version of the quadratic algebra.

引用

页码：759 / 768

页数：10

共 20 条

[1] GEOMETRY OF HIGGS AND TODA FIELDS ON RIEMANN SURFACES [J].