Abstract

We study here the generalized Weimar-Woods contractions of the superalgebra osp(1|32)⊕osp(1|32) in order to obtain a suitable algebra that could describe the gauge group of D=11 supergravity. The contracted superalgebras are assumed to be given in terms of fermionic extensions of the M-theory superalgebra. We show that the only superalgebra of this type obtained by contraction is the only one for which the three-form of D=11 supergravity cannot be trivialized. Therefore, D=11 supergravity cannot be connected in this way with a contraction of osp(1|32)⊕osp(1|32).

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