A linear realization for the new space-time superalgebras in ten and eleven dimensions

Abstract

The new extensions of the Poincaré superalgebra recently found in ten and eleven dimensions are shown to admit a linear realization. The generators of the nonlinear and linear group transformations are shown to fall into equivalent representations of the superalgebra. The parametrization of the coset space $G/H$, with $G$ a given extended supergroup and $H$ the Lorentz subgroup, that corresponds to the linear transformations is presented.

15 pages, LaTeX

Cited by in corpus (7)

• The geometry of branes and extended superspaces
• IIB-Branes and New Spacetime Superalgebras
• Type-II Superstrings and New Spacetime Superalgebras
• A Covariant Action for the Eleven Dimensional Superstring
• Green-Schwarz type formulation of D=11 S - invariant superstring and superparticle actions
• p-brane superalgebras via integrability
• On possible generalization of the superstring action to eleven dimensions