Supergravities and Branes from Hilbert-Poincaré Series
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2022
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| _version_ | 1866909182190419968 |
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| author | Cremonini, C. A. Grassi, P. A. Noris, R. Ravera, L. |
| author_facet | Cremonini, C. A. Grassi, P. A. Noris, R. Ravera, L. |
| contents | The Molien-Weyl integral formula and the Hilbert-Poincaré 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-Poincaré series allows to compute all possible invariants and consequently derive the cohomology structure. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2211_10454 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Supergravities and Branes from Hilbert-Poincaré Series Cremonini, C. A. Grassi, P. A. Noris, R. Ravera, L. High Energy Physics - Theory Mathematical Physics The Molien-Weyl integral formula and the Hilbert-Poincaré 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-Poincaré series allows to compute all possible invariants and consequently derive the cohomology structure. |
| title | Supergravities and Branes from Hilbert-Poincaré Series |
| topic | High Energy Physics - Theory Mathematical Physics |
| url | https://arxiv.org/abs/2211.10454 |