椭圆卡洛吉罗-莫泽模型 1+1 场类似物的非超局域经典 r 矩阵结构

IF 2 3区物理与天体物理 Q2 PHYSICS, MATHEMATICAL

Journal of Physics A: Mathematical and Theoretical Pub Date : 2024-07-21 DOI:10.1088/1751-8121/ad5ee1

Andrei Zotov

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引用次数: 0

摘要

我们考虑了椭圆卡洛吉罗-莫泽模型的 1+1 场广义化。结果表明，拉克斯连接满足经典的麦莱型非超局域 r 矩阵结构。接下来，我们考虑了自旋卡洛吉罗-莫泽模型的 1+1 场类似物及其多极（或多频）扩展。最后，我们讨论了经典 IRF 顶点对应的场类比，它关联了宇称和非宇称 r 矩阵结构。

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Non-ultralocal classical r-matrix structure for 1+1 field analogue of elliptic Calogero–Moser model

We consider 1+1 field generalization of the elliptic Calogero–Moser model. It is shown that the Lax connection satisfies the classical non-ultralocal r-matrix structure of Maillet type. Next, we consider 1+1 field analogue of the spin Calogero–Moser model and its multipole (or multispin) extension. Finally, we discuss the field analogue of the classical IRF-Vertex correspondence, which relates utralocal and non-ultralocal r-matrix structures.

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来源期刊

Journal of Physics A: Mathematical and Theoretical 物理-物理：数学物理

CiteScore

4.10

自引率

14.30%

发文量

542

审稿时长

1.9 months

期刊介绍： Publishing 50 issues a year, Journal of Physics A: Mathematical and Theoretical is a major journal of theoretical physics reporting research on the mathematical structures that describe fundamental processes of the physical world and on the analytical, computational and numerical methods for exploring these structures.