Moduli and BPS configurations of the BLG theory

Physics – High Energy Physics – High Energy Physics - Theory

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11 pages, LaTeX. References added. Zero mode of the gauge field is shown to furnish the 16th dimension of the moduli space. So

Scientific paper

10.1016/j.physletb.2010.10.040

We study the moduli space of scalars in the BLG theory with and without a constant background four-form field. The classical vacuum moduli space is sixteen-dimensional in the absence of the four-form field. In its presence, however, the moduli space of BPS configurations may be reduced in dimension. We exemplify this with a BPS configuration having $SO(1,2)$ world-volume symmetry and $SO(4) \times SO(4)$ R-symmetry in the presence of a four-form field, by constructing an explicit solution.

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