Abstract : We present a systematic analysis of the N=8 superspace constraints in three space-time dimensions. The general coupling between vector and scalar supermultiplets is encoded in an SO(8) tensor W_{AB} which is a function of the matter fields and subject to a set of algebraic and super-differential relations. We show how the conformal BLG model as well as three-dimensional Yang-Mills theory provide solutions to these constraints and can both be formulated in this universal framework.
Henning Samtleben, Robert Wimmer. N=8 Superspace Constraints for Three-dimensional Gauge Theories. Journal of High Energy Physics, Springer, 2010, pp.070. ⟨10.1007/JHEP02(2010)070⟩. ⟨ensl-00439594⟩
