TL;DR
This paper investigates boundary effects in the BLG theory by modifying it for boundary invariance, analyzing supersymmetry breaking, noncommutative deformations, and the Higgsing process to deformed D2-branes.
Contribution
It introduces a boundary-invariant modification of the BLG theory and explores its supersymmetry, noncommutative deformation, and Higgsing to D2-branes with boundaries.
Findings
Modified BLG theory preserves half the original supersymmetry.
Analyzed noncommutative deformation effects on the theory.
Described Higgsing process leading to deformed D2-branes with boundaries.
Abstract
In this paper we will analyse a system of multiple M2-branes in between two M5-branes. This will be analysed 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 analyse the deformation of this theory caused by noncommutativity between Grassman coordinates and spacetime coordinates. Finally, we will analyse the Higgsing of this theory to deformed D2-branes with boundaries.
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