手性型系统的对称性

IF 1 4区物理与天体物理 Q3 PHYSICS, MATHEMATICAL

Theoretical and Mathematical Physics Pub Date : 2024-06-25 DOI:10.1134/s0040577924060084

A. V. Balandin

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引用次数: 0

摘要

摘要我们考虑的手性型系统允许在实或复半简单李代数中取值的 Lax 表示，并且满足附加的正则性条件（其中一个矩阵是李代数的正则元素）。我们证明，对于具有消失扭转和非消失曲率的手性型系统，至少存在一个点对称是正则 Lax 表示的必要条件。

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Cosymmetries of chiral-type systems

Abstract

We consider chiral-type systems admitting a Lax representation with values in a real or complex semisimple Lie algebra such that an additional regularity condition is satisfied (one of the matrices is a regular element of the Lie algebra). We prove that for a chiral-type system with vanishing torsion and a nonvanishing curvature, the existence of at least one pointwise cosymmetry is a necessary condition for the regular Lax representation.

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来源期刊

Theoretical and Mathematical Physics 物理-物理：数学物理

CiteScore

1.60

自引率

20.00%

发文量

103

审稿时长

4-8 weeks

期刊介绍： Theoretical and Mathematical Physics covers quantum field theory and theory of elementary particles, fundamental problems of nuclear physics, many-body problems and statistical physics, nonrelativistic quantum mechanics, and basic problems of gravitation theory. Articles report on current developments in theoretical physics as well as related mathematical problems. Theoretical and Mathematical Physics is published in collaboration with the Steklov Mathematical Institute of the Russian Academy of Sciences.