Boundary Lax pairs for the An(1) Toda field theories

被引：15

作者：

Avan, Jean ^{[2
]}

Doikou, Anastasia ^{[1
]}

机构：

[1] Univ Patras, Dept Engn Sci, GR-26500 Patras, Greece

[2] Univ Cergy Pontoise, LPTM, CNRS, UMR 8089, F-95302 Cergy Pontoise, France

来源：

NUCLEAR PHYSICS B | 2009年 / 821卷 / 03期

关键词：

ANALYTICAL BETHE-ANSATZ; ZERO-CURVATURE CONDITIONS; SINE-GORDON; SPIN CHAIN; ALGEBRA; EQUATIONS; SYMMETRY; MATRICES; MODEL;

D O I：

10.1016/j.nuclphysb.2009.05.010

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

Based on the recent formulation of a general scheme to construct boundary Lax pairs. we develop this systematic construction for the A(n)((1)) affine Toda field theories (ATFT). We work out explicitly the first two models of the hierarchy, i.e. the sine-Gordon (A(1)((1))) and the A(2)((1)) models. The A(2)((1)) Toda theory is the first non-trivial example of the hierarchy that exhibits two distinct types of boundary conditions. We provide here novel expressions of boundary Lax pairs associated to both types of boundary conditions. (C) 2009 Elsevier B.V. All rights reserved.

引用

页码：481 / 505

页数：25

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