Examples of D = 11 S-Supersymmetric Actions for Point-Like Dynamical Systems

Abstract

A non standard super extensions of the Poincare algebra (S-algebra [1,2]), which seems to be relevant for construction of various D = 11 models, are studied. We present two examples of actions for point-like dynamical systems, which are invariant under off-shell closed realization of the S-algebra as well as under local fermionic κ-symmetry. On this ground, an explicit form of the S-algebra is advocated. * deriglaz@fma.if.usp.br, On leave of absence from the Dept. of Mathematics, TPU, Tomsk, Russia. † gitman@fma.if.usp.br 1 We mean gauge transformations for the SYM-theory and local κ-symmetry transformations for the case of superstring.