The $L_\infty$ structure of Free Differential Algebras and $d=11$ Supergravity
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arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866909904965468160 |
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| author | Castellani, L. D'Auria, R. |
| author_facet | Castellani, L. D'Auria, R. |
| contents | We discuss free differential algebras (FDA's), a generalization of the Cartan-Maurer equations for the group manifold vielbein, appropriate for theories containing $p$-forms ($p >1$). Their dual formulation is an extension of Lie algebras, called $L_\infty$ algebras, and we illustrate this duality in a simple example. Finally we review the FDA structure and the dual $L_\infty$ structure of $d=11$ supergravity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_20344 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The $L_\infty$ structure of Free Differential Algebras and $d=11$ Supergravity Castellani, L. D'Auria, R. High Energy Physics - Theory Mathematical Physics We discuss free differential algebras (FDA's), a generalization of the Cartan-Maurer equations for the group manifold vielbein, appropriate for theories containing $p$-forms ($p >1$). Their dual formulation is an extension of Lie algebras, called $L_\infty$ algebras, and we illustrate this duality in a simple example. Finally we review the FDA structure and the dual $L_\infty$ structure of $d=11$ supergravity. |
| title | The $L_\infty$ structure of Free Differential Algebras and $d=11$ Supergravity |
| topic | High Energy Physics - Theory Mathematical Physics |
| url | https://arxiv.org/abs/2507.20344 |