高阶椭圆配分函数与多对称椭圆函数

IF 2.8 3区物理与天体物理 Q2 PHYSICS, PARTICLES & FIELDS Nuclear Physics B Pub Date : 2025-02-01 Epub Date: 2025-01-22 DOI:10.1016/j.nuclphysb.2025.116805

Allan John Gerrard , Kohei Motegi , Kazumitsu Sakai

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引用次数: 0

摘要

我们引入并研究了一类glM+1配分函数，它是Foda-Manabe引入的一类配分函数的推广。我们用嵌套的Izergin-Korepin分析来描述配分函数，并确定了每一个有理、三角和椭圆版本的显式形式。所得到的多对称函数可以看作是有理权函数、三角权函数和椭圆权函数的扩展。

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Higher rank elliptic partition functions and multisymmetric elliptic functions

We introduce and investigate a class of

{gl}_{M + 1}

partition functions which is an extension of the one introduced by Foda-Manabe. We characterize the partition functions by a nested version of Izergin-Korepin analysis, and determine the explicit forms, for each of the rational, trigonometric and elliptic versions. The resulting multisymmetric functions can be regarded as extensions of the rational, trigonometric and elliptic weight functions.

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来源期刊

Nuclear Physics B 物理-物理：粒子与场物理

CiteScore

5.50

自引率

7.10%

发文量

302

审稿时长

1 months

期刊介绍： Nuclear Physics B focuses on the domain of high energy physics, quantum field theory, statistical systems, and mathematical physics, and includes four main sections: high energy physics - phenomenology, high energy physics - theory, high energy physics - experiment, and quantum field theory, statistical systems, and mathematical physics. The emphasis is on original research papers (Frontiers Articles or Full Length Articles), but Review Articles are also welcome.