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M-theory superalgebra from multiple membranes

2008/06/30 by Kazuyuki Furuuchi, Sheng-Yu Darren Shih, Tomohisa Takimi
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #hep-th

paper · pdf · doi:10.1088/1126-6708/2008/08/072

published as JHEP0808:072,2008 · v1 1+17 pages; v2 refs added

arxiv created 2008/06/30 · openalex publication_date 2008/08/21 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We investigate space-time supersymmetry of the model of multiple M2-branes proposed by Bagger-Lambert and Gustavsson. When there is a central element in Lie 3-algebra, the model possesses an extra symmetry shifting the fermions in the central element. Together with the original worldvolume supersymmetry transformation, we construct major part of the eleven dimensional space-time super-Poincaré algebra with central extensions. Implications to transverse five-branes in the matrix model for M-theory are also discussed.

Citations