The r-Matrix Structure of Hitchin Systems via Loop Group Uniformization

IF 1.4 3区物理与天体物理 Q2 PHYSICS, MATHEMATICAL

Annales Henri Poincaré Pub Date : 2025-08-08 DOI:10.1007/s00023-025-01603-w

Raschid Abedin

引用次数: 0

Abstract

In this work, the description of the moduli space of principal \(G\)-bundles as double quotient of loop groups is used to construct an étale local \(r\)-matrix for the Hitchin integrable system.

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环群均匀化Hitchin系统的r-矩阵结构

本文利用主\(G\) -束的模空间描述为环群的双商，构造了Hitchin可积系统的一个局部\(r\) -矩阵。

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

Annales Henri Poincaré 物理-物理：粒子与场物理

CiteScore

3.00

自引率

6.70%

发文量

108

审稿时长

6-12 weeks

期刊介绍： The two journals Annales de l''Institut Henri Poincaré, physique théorique and Helvetica Physical Acta merged into a single new journal under the name Annales Henri Poincaré - A Journal of Theoretical and Mathematical Physics edited jointly by the Institut Henri Poincaré and by the Swiss Physical Society. The goal of the journal is to serve the international scientific community in theoretical and mathematical physics by collecting and publishing original research papers meeting the highest professional standards in the field. The emphasis will be on analytical theoretical and mathematical physics in a broad sense.