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

Abstract

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.

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

References in corpus (3)

• Gauge Symmetry and Supersymmetry of Multiple M2-Branes
• Modeling Multiple M2's
• The M2-M5 Brane System and a Generalized Nahm's Equation

Cited by in corpus (2)

• Dimensional reduction of the ABJM model
• Heterotic M2-branes