تقرير
Supergravities and Branes from Hilbert-Poincar\'e Series
| العنوان: | Supergravities and Branes from Hilbert-Poincar\'e Series |
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| المؤلفون: | Cremonini, C. A., Grassi, P. A., Noris, R., Ravera, L. |
| المصدر: | JHEP 12 (2023) 088 |
| سنة النشر: | 2022 |
| المجموعة: | Mathematics High Energy Physics - Theory Mathematical Physics |
| مصطلحات موضوعية: | High Energy Physics - Theory, Mathematical Physics |
| الوصف: | The Molien-Weyl integral formula and the Hilbert-Poincar\'e series have proven to be powerful mathematical tools in relation to gauge theories, allowing to count the number of gauge invariant operators. In this paper, we show that these methods can also be employed to construct Free Differential Algebras and, therefore, reproduce the associated pure supergravity spectrum and nonperturbative objects. Indeed, given a set of fields, the Hilbert-Poincar\'e series allows to compute all possible invariants and consequently derive the cohomology structure. Comment: 39 pages, plus refs |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1007/JHEP12(2023)088 |
| URL الوصول: | http://arxiv.org/abs/2211.10454 |
| رقم الأكسشن: | edsarx.2211.10454 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1007/JHEP12(2023)088 |
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