Higher Chern-Simons based on (2-)crossed modules
Abstract 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-Simon...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-07-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP07(2023)207 |
| _version_ | 1797647481903775744 |
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| author | Danhua Song Mengyao Wu Ke Wu Jie Yang |
| author_facet | Danhua Song Mengyao Wu Ke Wu Jie Yang |
| author_sort | Danhua Song |
| collection | DOAJ |
| description | Abstract 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. |
| first_indexed | 2024-03-11T15:16:51Z |
| format | Article |
| id | doaj.art-743088709a1748488be6d5851cb743aa |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-03-11T15:16:51Z |
| publishDate | 2023-07-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-743088709a1748488be6d5851cb743aa2023-10-29T12:09:01ZengSpringerOpenJournal of High Energy Physics1029-84792023-07-012023714110.1007/JHEP07(2023)207Higher Chern-Simons based on (2-)crossed modulesDanhua Song0Mengyao Wu1Ke Wu2Jie Yang3School of Mathematical Sciences, Capital Normal UniversitySchool of Mathematical Sciences, Capital Normal UniversitySchool of Mathematical Sciences, Capital Normal UniversitySchool of Mathematical Sciences, Capital Normal UniversityAbstract 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.https://doi.org/10.1007/JHEP07(2023)207Higher Gauge TheoriesChern-Simons TheoriesGauge SymmetryTopological Field Theories |
| spellingShingle | Danhua Song Mengyao Wu Ke Wu Jie Yang Higher Chern-Simons based on (2-)crossed modules Journal of High Energy Physics Higher Gauge Theories Chern-Simons Theories Gauge Symmetry Topological Field Theories |
| title | Higher Chern-Simons based on (2-)crossed modules |
| title_full | Higher Chern-Simons based on (2-)crossed modules |
| title_fullStr | Higher Chern-Simons based on (2-)crossed modules |
| title_full_unstemmed | Higher Chern-Simons based on (2-)crossed modules |
| title_short | Higher Chern-Simons based on (2-)crossed modules |
| title_sort | higher chern simons based on 2 crossed modules |
| topic | Higher Gauge Theories Chern-Simons Theories Gauge Symmetry Topological Field Theories |
| url | https://doi.org/10.1007/JHEP07(2023)207 |
| work_keys_str_mv | AT danhuasong higherchernsimonsbasedon2crossedmodules AT mengyaowu higherchernsimonsbasedon2crossedmodules AT kewu higherchernsimonsbasedon2crossedmodules AT jieyang higherchernsimonsbasedon2crossedmodules |