Séminaire de Physique Théorique

Emergence of the M-algebra from Chern-Simons supergravity
Mokhtar Hassaine (LMPT et Univ. de Talca, Chile)
Thursday 24 April 2008 14:00 -  Tours -  Salle 1180 (Bât E2)

Résumé :
We show that a generalization of the Wigner-Inonu contraction permits to link an eleven-dimensional AdS supergravity theory invariant under Osp(32,1) with a gauge theory for the M-algebra. We first show that the standard Wigner-Inonu contraction on the AdS theory gives rise to a consistent theory but the resulting Lagrangian is decoupled from the vielbein. In contrast, the next order in the contraction contains a gravitational Lagrangian given by the dimensional continuation of the Euler density but does not define a supersymmetric theory. We prove that the procedure to render supersymmetric these terms naturally brings in the gauge structure of the M-algebra.

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