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arXiv · 1008.2739

N=6 Superspace Constraints, SUSY Enhancement and Monopole Operators

Henning Samtleben·Robert Wimmer
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Abstract

We present a systematic analysis of the N=6 superspace constraints in three space-time dimensions. The general coupling between vector and scalar supermultiplets is encoded in an SU(4) tensor $W^i_j$ which is a function of the matter fields and subject to a set of algebraic and super-differential relations. We give a genuine N=6 classification for superconformal models with polynomial interactions and find the known ABJM and ABJ models. We further study the issue of supersymmetry enhancement to N=8 and the role of monopole operators in this scenario. To this end we assume the existence of a composite monopole operator superfield which we use to formulate the additional supersymmetries as internal symmetries of the N=6 superspace constraints. From the invariance conditions of these constraints we derive a system of superspace constraints for the proposed monopole operator superfield. This constraint system defines the composite monopole operator superfield analogously to the original N=6 superspace constraints defining the dynamics of the elementary fields.

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Henning Samtleben, Robert Wimmer. 2010-10-21. N=6 Superspace Constraints, SUSY Enhancement and Monopole Operators. https://doi.org/10.1007/jhep10(2010)080

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