# N=6 Superspace Constraints, SUSY Enhancement and Monopole Operators

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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Journal articles

Cited literature [2 references]

https://hal-ens-lyon.archives-ouvertes.fr/ensl-00509917
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Submitted on : Tuesday, August 17, 2010 - 11:12:32 AM
Last modification on : Monday, December 14, 2020 - 4:50:30 PM
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### Citation

Henning Samtleben, Robert Wimmer. N=6 Superspace Constraints, SUSY Enhancement and Monopole Operators. Journal of High Energy Physics, Springer, 2010, pp.080. ⟨10.1007/JHEP10(2010)080⟩. ⟨ensl-00509917⟩

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