Killing Spinor Equations from Nonlinear Realisations

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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16 pages, typos corrected

Scientific paper

10.1016/j.nuclphysb.2004.07.012

Starting from a nonlinear realisation of eleven dimensional supergravity based on the group G11, whose generators appear as low level generators of E11, we present a super extended algebra, which leads to a covariant derivative of spinors identical to the Killing spinor equation of this theory. A similar construction leads to the Killing spinor equation of N=1 pure supergravity in ten dimensions.

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