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

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

2004-07-30

arxiv.org/abs/hep-th/0407271v2

JHEP0410:046,2004

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, 1 figure. v2: references added

Scientific paper

10.1088/1126-6708/2004/10/046

We 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.

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