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Supermembrane with non-Abelian gauging and Chern-Simons quantization

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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 \(\pi_3(G)\).

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Authors and Affiliations

  1. Department of Physics & Astronomy, California State University, 1250 Bellflower Boulevard, CA 90840, Long Beach, USA

    H. Nishino & S. Rajpoot

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  1. H. Nishino
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  2. S. Rajpoot
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Correspondence to H. Nishino.

Additional information

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

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Nishino, H., Rajpoot, S. Supermembrane with non-Abelian gauging and Chern-Simons quantization. Eur. Phys. J. C 39, 389–395 (2005). https://doi.org/10.1140/epjc/s2004-02095-8

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  • DOI: https://doi.org/10.1140/epjc/s2004-02095-8

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