Moduli and BPS configurations of the BLG theory

Abstract

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.

11 pages, LaTeX. References added. Zero mode of the gauge field is shown to furnish the 16th dimension of the moduli space. Some discussions improved. Version to appear in Physics Letters B