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Killing spinor equations from nonlinear realisations

2004/04/30 by Andre Miemiec, André Miemiec, Igor Schnakenburg · 1 citation
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Nonlinear Waves and Solitons #hep-th

paper · pdf · doi:10.1016/j.nuclphysb.2004.07.012

published as Nucl.Phys. B698 (2004) 517-530 · 16 pages, typos corrected

arxiv created 2004/05/25 · openalex publication_date 2004/08/05 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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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