11D supergravity at ${\cal O}(l^3)$

dc.creatorTsimpis, Dimitrios
dc.date2004-07-30
dc.date2004-08-30
dc.date.accessioned2026-07-07T10:50:08Z
dc.date.available2026-07-07T10:50:08Z
dc.descriptionWe compute certain spinorial cohomology groups controlling possible supersymmetric deformations of eleven-dimensional supergravity up to order $l^3$ in the Planck length. At ${\cal O}(l)$ and ${\cal O}(l^2)$ the spinorial cohomology groups are trivial and therefore the theory cannot be deformed supersymmetrically. At ${\cal O}(l^3)$ the corresponding spinorial cohomology group is generated by a nontrivial element. On an eleven-dimensional manifold $M$ such that $p_1(M)\neq 0$, this element corresponds to a supersymmetric deformation of the theory, which can only be redefined away at the cost of shifting the quantization condition of the four-form field strength.
dc.description10 pages, 1 figure. v2: references added
dc.identifierhttps://arxiv.org/abs/hep-th/0407271
dc.identifierhttp://arxiv.org/abs/hep-th/0407271
dc.identifierJHEP0410:046,2004
dc.identifierdoi:10.1088/1126-6708/2004/10/046
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/184442
dc.subjectHigh Energy Physics - Theory
dc.title11D supergravity at ${\cal O}(l^3)$
dc.typetext

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