| Abstract: | We present the non-Abelian gaugings of supermembranes for general isometries for compactifications from eleven-dimensions, starting with an 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 non-trivial mapping  . Received: 15 September 2004, Revised: 12 November 2004, Published online: 14 January 2005 PACS: 11.25.Mj, 11.25.Tq, 04.50. + h, 04.65. + e |
