Supermembrane with non-Abelian gauging and Chern-Simons quantization
Department of Physics & Astronomy, California State University, 1250 Bellflower Boulevard, CA 90840, Long Beach, USA
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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 .
© Springer-Verlag, 2004