Narrow Results

In this paper, we will analyze a system of multiple M2-branes in between two M5-branes. This will be analyzed by studying Bagger–Lambert–Gustavsson (BLG) theory on a manifold with two boundaries. The original BLG theory will be modified to make it gauge and supersymmetric invariant in presence of the boundaries. However, this modified theory will only preserve half the supersymmetry of the original theory. We will also analyze the deformation of this theory caused by noncommutativity between Grassman coordinates and spacetime coordinates. Finally, we will analyze the Higgsing of this theory to deformed D2-branes with boundaries.

In this paper we will analyze the anti-BRST symmetries of Bagger–Lambert–Gustavsson (BLG) theory in presence of a boundary. We will analyze these symmetries in both linear and nonlinear gauges. We will also derive the finite field version of the anti-BRST transformations for the BLG theory in presence of a boundary. These finite field transformations will be used to relate generating functional in linear gauge to the generating functional in the nonlinear gauge.