## New Two Dimensional Massless Field Theory from Bagger-Lambert-Gustavsson Model

Santos, M. A.
Vancea, I. V.
##### Description
By compactifying the Bagger-Lambert-Gustavsson model on $\mathbb{R}^{1,1} \times S^1$, we obtain a new two dimensional massless field theory with dynamical fields valued in the Lie 3-algebra $\mathcal{A}$ coupled with an SO(1,1) scalar and vector field which are valued in the set $End(\mathcal{A})$ of the endomorphisms of the Lie 3-algebra. In the limit $g_{BLG} \to \infty$ the theory reduces to a supersymmetric Lie 3-valued generalization of the Green-Schwarz superstring in the light-cone gauge.
Comment: Major modifications. The interpretations of the dynamical fields corrected. The discussion of the weak/strong coupling limits in considerably extended in Section 4. Several formulas simplified. References added. 11 pages
##### Keywords
High Energy Physics - Theory