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EnglishIn this paper we clarify the relations occurring among the osp(1|32) algebra, the M-algebra and the hidden superalgebra underlying the Free Differential Algebra of D=11 supergravity (to which we will refer as DF-algebra), that was introduced in the literature by D'Auria and Frè in 1981 and is actually a (Lorentz valued) central extension of the M-algebra including a nilpotent spinor generator, Q'. We focus in particular on the 4-form cohomology in 11D superspace of the supergravity theory, strictly related to the presence in the theory of a 3-form A^(3). Once formulated in terms of its hidden superalgebra of 1-forms, we find that A^(3) can be decomposed into the sum of two parts having different group-theoretical meaning: One of them allows to reproduce the FDA of the 11D Supergravity due to non trivial contributions to the 4-form cohomology in superspace, while the second one does not contribute to the 4-form cohomology, being a closed 3-form in the vacuum, defining however a one parameter family of trilinear forms invariant under a symmetry algebra strictly related to osp(1|32). We further discuss about the crucial role played by the 1-form spinor eta (dual to the nilpotent generator Q') for the 4-form cohomology of the eleven dimensional theory on superspace.
More on the hidden symmetries of 11D supergravity / Andrianopoli, Laura Maria; D'Auria, Riccardo; Ravera, Lucrezia. - In: PHYSICS LETTERS. SECTION B. - ISSN 0370-2693. - STAMPA. - 772(2017), pp. 578-585. [10.1016/j.physletb.2017.07.016]
| Titolo: | More on the hidden symmetries of 11D supergravity | |
| Autori: | ||
| Data di pubblicazione: | 2017 | |
| Rivista: | ||
| Digital Object Identifier (DOI): | http://dx.doi.org/10.1016/j.physletb.2017.07.016 | |
| Appare nelle tipologie: | 1.1 Articolo in rivista |
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| File | Descrizione | Tipologia | Licenza | |
|---|---|---|---|---|
| PLB772_2017.pdf | articolo post-print | 2a Post-print versione editoriale / Version of Record |  | Visibile a tuttiVisualizza/Apri |
http://hdl.handle.net/11583/2677840
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