Article ID Journal Published Year Pages File Type
1840014 Nuclear Physics B 2015 11 Pages PDF
Abstract

We study here the generalized Weimar-Woods contractions of the superalgebra osp(1|32)⊕osp(1|32)osp(1|32)⊕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)⊕osp(1|32)osp(1|32)⊕osp(1|32).

Related Topics
Physical Sciences and Engineering Mathematics Mathematical Physics
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