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Supermembrane with Non-Abelilan Gauging and Chern-Simons Quantization

Hitoshi Nishino·Subhash Rajpoot
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Abstract

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 π_3(G).

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Hitoshi Nishino, Subhash Rajpoot. 2003-10-24. Supermembrane with Non-Abelilan Gauging and Chern-Simons Quantization. https://doi.org/10.1140/epjc%2Fs2004-02095-8

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