TL;DR
This paper reformulates the BLG theory in three dimensions using light-cone superspace and employs superconformal symmetry to determine its interactions, paralleling methods used in N=4 SuperYang-Mills theory.
Contribution
It introduces a light-cone superspace formulation of the BLG theory and applies superconformal symmetry to constrain its interactions, providing new insights into its structure.
Findings
Successful formulation of BLG theory in light-cone superspace
Determination of interaction form via superconformal symmetry
Analogy with N=4 SuperYang-Mills established
Abstract
The recently formulated Bagger-Lambert-Gustavsson (BLG) theory in three dimensions is described in terms of a constrained chiral superfield in light-cone superspace. We discuss the use of Superconformal symmetry to determine the form of its interactions, in complete analogy with N=4 SuperYang-Mills in four dimensions.
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