Supermembrane with Non-Abelilan Gauging and Chern-Simons Quantization

Details Supermembrane with Non-Abelilan Gauging and Chern-Simons Quantization Supermembrane with Non-Abelilan Gauging and Chern-Simons Quantization

2003-09-09

arxiv.org/abs/hep-th/0309100v3

Eur.Phys.J. C39 (2005) 389-395

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, no figures. The content has been considerably changed with non-Abelian generalization

Scientific paper

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 \pi_3(G).

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