Batalin-Vilkovisky formality for Chern-Simons theory
Abstract We prove that the differential graded Lie algebra of functionals associated to the Chern-Simons theory of a semisimple Lie algebra is homotopy abelian. For a general field theory, we show that the variational complex in the Batalin-Vilkovisky formalism is a differential graded Lie algebra.
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| Format: | Article |
| Language: | English |
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SpringerOpen
2021-12-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP12(2021)105 |
| _version_ | 1818363052156780544 |
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| author | Ezra Getzler |
| author_facet | Ezra Getzler |
| author_sort | Ezra Getzler |
| collection | DOAJ |
| description | Abstract We prove that the differential graded Lie algebra of functionals associated to the Chern-Simons theory of a semisimple Lie algebra is homotopy abelian. For a general field theory, we show that the variational complex in the Batalin-Vilkovisky formalism is a differential graded Lie algebra. |
| first_indexed | 2024-12-13T21:42:20Z |
| format | Article |
| id | doaj.art-e434e0202fda4ab29800420298701e4d |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-13T21:42:20Z |
| publishDate | 2021-12-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-e434e0202fda4ab29800420298701e4d2022-12-21T23:30:30ZengSpringerOpenJournal of High Energy Physics1029-84792021-12-0120211212410.1007/JHEP12(2021)105Batalin-Vilkovisky formality for Chern-Simons theoryEzra Getzler0Department of Mathematics, Northwestern UniversityAbstract We prove that the differential graded Lie algebra of functionals associated to the Chern-Simons theory of a semisimple Lie algebra is homotopy abelian. For a general field theory, we show that the variational complex in the Batalin-Vilkovisky formalism is a differential graded Lie algebra.https://doi.org/10.1007/JHEP12(2021)105Chern-Simons TheoriesBRST QuantizationTopological Field Theories |
| spellingShingle | Ezra Getzler Batalin-Vilkovisky formality for Chern-Simons theory Journal of High Energy Physics Chern-Simons Theories BRST Quantization Topological Field Theories |
| title | Batalin-Vilkovisky formality for Chern-Simons theory |
| title_full | Batalin-Vilkovisky formality for Chern-Simons theory |
| title_fullStr | Batalin-Vilkovisky formality for Chern-Simons theory |
| title_full_unstemmed | Batalin-Vilkovisky formality for Chern-Simons theory |
| title_short | Batalin-Vilkovisky formality for Chern-Simons theory |
| title_sort | batalin vilkovisky formality for chern simons theory |
| topic | Chern-Simons Theories BRST Quantization Topological Field Theories |
| url | https://doi.org/10.1007/JHEP12(2021)105 |
| work_keys_str_mv | AT ezragetzler batalinvilkoviskyformalityforchernsimonstheory |