Superconformal anomalies from superconformal Chern-Simons polynomials
We consider the 4-dimensional N = 1 Lie superconformal algebra and search for completely “symmetric” (in the graded sense) 3-index invariant tensors. The solution we find is unique and we show that the corresponding invariant polynomial cubic in the generalized curvatures of superconformal gravity v...
| Main Authors: | , , |
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| 格式: | Journal article |
| 语言: | English |
| 出版: |
Springer
2024
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| _version_ | 1826313619412877312 |
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| author | Imbimbo, C Rovere, D Warman, A |
| author_facet | Imbimbo, C Rovere, D Warman, A |
| author_sort | Imbimbo, C |
| collection | OXFORD |
| description | We consider the 4-dimensional N = 1 Lie superconformal algebra and search for completely “symmetric” (in the graded sense) 3-index invariant tensors. The solution we find is unique and we show that the corresponding invariant polynomial cubic in the generalized curvatures of superconformal gravity vanishes. Consequently, the associated Chern-Simons polynomial is a non-trivial anomaly cocycle. We explicitly compute this cocycle to all orders in the independent fields of superconformal gravity and establish that it is BRST equivalent to the so-called superconformal a-anomaly. We briefly discuss the possibility that the superconformal c-anomaly also admits a similar Chern-Simons formulation and the potential holographic, 5-dimensional, interpretation of our results. |
| first_indexed | 2024-09-25T04:17:45Z |
| format | Journal article |
| id | oxford-uuid:c5efd6fd-652d-4f17-a2bc-98f49e9ec9f6 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-09-25T04:17:45Z |
| publishDate | 2024 |
| publisher | Springer |
| record_format | dspace |
| spelling | oxford-uuid:c5efd6fd-652d-4f17-a2bc-98f49e9ec9f62024-07-20T16:12:26ZSuperconformal anomalies from superconformal Chern-Simons polynomialsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:c5efd6fd-652d-4f17-a2bc-98f49e9ec9f6EnglishJisc Publications RouterSpringer2024Imbimbo, CRovere, DWarman, AWe consider the 4-dimensional N = 1 Lie superconformal algebra and search for completely “symmetric” (in the graded sense) 3-index invariant tensors. The solution we find is unique and we show that the corresponding invariant polynomial cubic in the generalized curvatures of superconformal gravity vanishes. Consequently, the associated Chern-Simons polynomial is a non-trivial anomaly cocycle. We explicitly compute this cocycle to all orders in the independent fields of superconformal gravity and establish that it is BRST equivalent to the so-called superconformal a-anomaly. We briefly discuss the possibility that the superconformal c-anomaly also admits a similar Chern-Simons formulation and the potential holographic, 5-dimensional, interpretation of our results. |
| spellingShingle | Imbimbo, C Rovere, D Warman, A Superconformal anomalies from superconformal Chern-Simons polynomials |
| title | Superconformal anomalies from superconformal Chern-Simons polynomials |
| title_full | Superconformal anomalies from superconformal Chern-Simons polynomials |
| title_fullStr | Superconformal anomalies from superconformal Chern-Simons polynomials |
| title_full_unstemmed | Superconformal anomalies from superconformal Chern-Simons polynomials |
| title_short | Superconformal anomalies from superconformal Chern-Simons polynomials |
| title_sort | superconformal anomalies from superconformal chern simons polynomials |
| work_keys_str_mv | AT imbimboc superconformalanomaliesfromsuperconformalchernsimonspolynomials AT rovered superconformalanomaliesfromsuperconformalchernsimonspolynomials AT warmana superconformalanomaliesfromsuperconformalchernsimonspolynomials |