Kac-van de Leur 版本中的 m 分量超 KP 层次结构

IF 4.3 2区物理与天体物理 Q1 ASTRONOMY & ASTROPHYSICS

Physics Letters B Pub Date : 2024-09-06 DOI:10.1016/j.physletb.2024.139005

Huizhan Chen

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引用次数: 0

摘要

本文通过克利福德超代数构建了自由超费米子形式的 m 分超 KP 层次。利用顶点算子描述了这一层次结构的超玻色对应物。在此基础上，确定了一些超广达方程，并用超贝克函数和 tau 函数表达了双线性特性。此外，还讨论了超费米子的达尔布克斯变换。

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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The m-component super KP hierarchy in Kac-van de Leur version

In this paper, the m-component super KP hierarchy in form of free superfermions is constructed by Clifford superalgebra. The super bosonic counterpart of this hierarchy is described by using the vertex operators. Based on this, some super Hirota equations are determined and the bilinear identity is expressed by super Baker functions and tau function. Darboux transformation in terms of superfermions is also discussed.

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来源期刊

Physics Letters B 物理-物理：综合

CiteScore

9.10

自引率

6.80%

发文量

647

审稿时长

3 months

期刊介绍： Physics Letters B ensures the rapid publication of important new results in particle physics, nuclear physics and cosmology. Specialized editors are responsible for contributions in experimental nuclear physics, theoretical nuclear physics, experimental high-energy physics, theoretical high-energy physics, and astrophysics.