The BLG Theory in Light-Cone Superspace
Dmitry Belyaev, Lars Brink, Sung-Soo Kim, and Pierre Ramond

TL;DR
This paper derives the light-cone superspace formulation of the d=3, N=8 BLG superconformal theory, revealing its Hamiltonian as a quadratic form of dynamical supersymmetry, thus providing a new perspective on its structure.
Contribution
It presents the first light-cone superspace formulation of the BLG theory, connecting superalgebra constraints to the Hamiltonian structure.
Findings
Hamiltonian expressed as quadratic form of supersymmetry transformations
Derived light-cone superspace version of BLG theory
Connected superalgebra constraints to Hamiltonian structure
Abstract
The light-cone superspace version of the d=3, N=8 superconformal theory of Bagger, Lambert and Gustavsson (BLG) is obtained as a solution to constraints imposed by OSp(2,2|8) superalgebra. The Hamiltonian of the theory is shown to be a quadratic form of the dynamical supersymmetry transformation.
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