N=8 Superspace Constraints for Three-dimensional Gauge Theories

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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34 + 10 pages; added references, minor corrections

Scientific paper

10.1007/JHEP02(2010)070

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 super Yang-Mills theory provide solutions to these constraints and can both be formulated in this universal framework.

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