2003/09/30 by Hitoshi Nishino, Subhash Rajpoot
Mathematics · Physics and Astronomy · #Abelian group #Black Holes and Theoretical Physics #Compactification (mathematics) #Cosmology and Gravitation Theories #Elementary abelian group #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Pure mathematics #Rank of an abelian group #Superspace #Supersymmetry #hep-th
paper · pdf · doi:10.1140/epjc/s2004-02095-8
published as Eur.Phys.J. C39 (2005) 389-395 · 16 pages, no figures. The content has been considerably changed with non-Abelian generalization
arxiv created 2003/10/24 · openalex publication_date 2005/01/13 · arxiv updated 2015/06/26 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We present non-Abelian gaugings of supermembrane for general isometries for compactifications from eleven-dimensions, starting with Abelian case as a guide. We introduce a super Killing vector in eleven-dimensional superspace for a non-Abelian group G associated with the compact space B for a general compactification, and couple it to a non-Abelian gauge field on the world-volume. As a technical tool, we use teleparallel superspace with no manifest local Lorentz covariance. Interestingly, the coupling constant is quantized for the non-Abelian group G, due to its generally non-trivial mapping π3(G).