Classically Integrable Non-Linear Sigma Models and their Geometric Properties

IF 0.5 Q4 PHYSICS, MATHEMATICAL

Journal of Geometry and Symmetry in Physics Pub Date : 2021-01-01 DOI:10.7546/JGSP-59-2021-47-65

P. Bracken

引用次数: 0

Abstract

General classes of non-linear sigma models originating from a specified action are developed and studied. Models can be grouped and considered within a single mathematical structure this way. The geometrical properties of these models and the theories they describe are developed in detail. The zero curvature representation of the equations of motion are found. Those representations which have a spectral parameter are of importance here. Some new models with Lax pairs which depend on a spectral parameter are found. Some particular classes of solutions are worked out and discussed.

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经典可积非线性模型及其几何性质

发展和研究了由特定作用产生的一般非线性模型。通过这种方式，可以将模型分组并在单个数学结构中进行考虑。详细阐述了这些模型的几何性质及其所描述的理论。得到了运动方程的零曲率表示。那些具有谱参数的表示在这里很重要。建立了一些依赖于谱参数的Lax对新模型。给出并讨论了一些特殊类型的解。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Geometry and Symmetry in Physics PHYSICS, MATHEMATICAL-

CiteScore

1.50

自引率

25.00%

发文量

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