Higher Chern-Simons based on (2-)crossed modules

被引：1

作者：

Song, Danhua ^{[1
]}

Wu, Mengyao ^{[1
]}

Wu, Ke ^{[1
]}

Yang, Jie ^{[1
]}

机构：

[1] Capital Normal Univ, Sch Math Sci, Beijing 100048, Peoples R China

来源：

JOURNAL OF HIGH ENERGY PHYSICS | 2023年 / 2023卷 / 07期

基金：

中国国家自然科学基金;

关键词：

Higher Gauge Theories; Chern-Simons Theories; Gauge Symmetry; Topological Field Theories; HIGHER GAUGE-THEORY; GENERALIZED FORMS; FIELD;

D O I：

10.1007/JHEP07(2023)207

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

We present higher Chern-Simons theories based on (2-)crossed modules. We start from the generalized differential forms in Generalized Differential Calculus and define the corresponding generalized connections which consist of higher connections. Then we establish the generalized Chern-Simons forms to get the higher Chern-Simons actions. Finally, we develop the higher second Chern forms and Chern-Weil theorems.

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页数：41

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