The BLG Theory in Light-Cone Superspace

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.

45 pages, v2: reference added, minor typos corrected, published version

References in corpus (7)

• Algebraic structures on parallel M2-branes
• The Ultraviolet Behavior of N=8 Supergravity at Four Loops
• E_7(7) on the Light Cone
• N=8 Superspace Constraints for Three-dimensional Gauge Theories
• E8(8) in Light Cone Superspace
• Dynamical supersymmetry in maximally supersymmetric gauge theories
• Still in Light-Cone Superspace

Cited by in corpus (7)

• n-ary algebras: a review with applications
• Resolution of Chern--Simons--Higgs Vortex Equations
• Existence Theorems for Vortices in the Aharony--Bergman--Jaferis--Maldacena Model
• Higher spins, quadratic forms and amplitudes
• Maximally Supersymmetric Yang-Mills in five dimensions in light-cone superspace
• Mass-Deformed BLG Theory in Light-Cone Superspace
• The $\mathcal{O}\mathcal{S}\mathcal{P}(2,2|16)$ superconformal theory is free!