تقرير
Superconformal anomalies from superconformal Chern-Simons polynomials
| العنوان: | Superconformal anomalies from superconformal Chern-Simons polynomials |
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| المؤلفون: | Imbimbo, Camillo, Rovere, Davide, Warman, Alison |
| المصدر: | JHEP 05 (2024) 277 |
| سنة النشر: | 2023 |
| المجموعة: | High Energy Physics - Theory |
| مصطلحات موضوعية: | High Energy Physics - Theory |
| الوصف: | We consider the 4-dimensional $\mathcal{N}=1$ 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. Comment: 50 pages; v2: Added references. Added discussion in Section 5 regarding equivalent representatives of the anomalies. Added comparison with previously published results and explicit expressions for the fermionic contributions to the anomalies; v3: typos corrected, published in JHEP |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1007/JHEP05(2024)277 |
| URL الوصول: | http://arxiv.org/abs/2311.05684 |
| رقم الأكسشن: | edsarx.2311.05684 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1007/JHEP05(2024)277 |
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