Lorentz-Covariant Non-Abelian Gauging of Supermembrane

Physics – High Energy Physics – High Energy Physics - Theory

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16 pages, no figures

Scientific paper

10.1103/PhysRevD.77.106002

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 \xi^{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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