11D supergravity at Script O(l3)
Abstract
We compute certain spinorial cohomology groups controlling possible supersymmetric deformations of eleven-dimensional supergravity up to order l3 in the Planck length. At Script O(l) and Script O(l2) the spinorial cohomology groups are trivial and therefore the theory cannot be deformed supersymmetrically. At Script O(l3) the corresponding spinorial cohomology group is generated by a nontrivial element. On an eleven-dimensional manifold M such that p1(M)≠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.
- Publication:
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Journal of High Energy Physics
- Pub Date:
- October 2004
- DOI:
- 10.1088/1126-6708/2004/10/046
- arXiv:
- arXiv:hep-th/0407271
- Bibcode:
- 2004JHEP...10..046T
- Keywords:
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- M-Theory Supergravity Models Superspaces;
- High Energy Physics - Theory
- E-Print:
- 10 pages, 1 figure. v2: references added