Contractions from osp(132)osp(132)osp(1|32) \oplus osp(1|32) to the M-theory superalgebra extended by additional fermionic generators

Apr 22, 2015
11 pages
Published in:
  • Nucl.Phys.B 897 (2015) 87-97
  • Published: May 25, 2015
e-Print:

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Abstract: (Elsevier)
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) .
  • supersymmetry: algebra
  • differential forms: 3
  • supergravity: 1
  • M-theory
  • dimension: 11