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arXiv · 0806.0660

Lorentz-Covariant Non-Abelian Gauging of Supermembrane

Hitoshi Nishino·Subhash Rajpoot
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Abstract

We perform the Lorentz-covariant non-Abelian gauging of supermembrane (M-2 brane) action. This is a generalization of our previous work based on teleparallel formulation, in which Lorentz covariance was not manifest. We introduce the Killing supervector ξ^{A I} with the adjoint index I for a non-Abelian gauge group H. This formulation is applicable to the compactification of supermembrane from eleven dimensions into D dimensions, such as H = SO(11-D) for the compactification M_{11} \to S^{11-D} \times M_D (1\le D \le 9).

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Hitoshi Nishino, Subhash Rajpoot. 2008-06-03. Lorentz-Covariant Non-Abelian Gauging of Supermembrane. https://doi.org/10.1103/physrevd.77.106002

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