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    Contractions from osp(1∣32)βŠ•osp(1∣32)osp(1|32) \oplus osp(1|32) to the M-theory superalgebra extended by additional fermionic generators

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    We study here the generalized Weimar-Woods contractions of the superalgebra osp(1∣32)βŠ•osp(1∣32)osp(1|32) \oplus osp(1|32) in order to obtain a suitable algebra that could describe the gauge group of D=11D=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=11D=11 supergravity cannot be trivialized. Therefore, D=11D=11 supergravity cannot be connected in this way with a contraction of osp(1∣32)βŠ•osp(1∣32)osp(1|32) \oplus osp(1|32)
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