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Journal of High Energy Physics 1010 (2010) 080
ensl-00509917, version 1
Physique/Physique des Hautes Energies - Théorie
N=6 Superspace Constraints, SUSY Enhancement and Monopole Operators
Henning Samtleben1, Robert Wimmer1
1 :  Phys-ENS - Laboratoire de Physique de l'ENS Lyon
[Physique théorique]
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.
Anglais
Supersymmetric gauge theory – Chern-Simons Theories – Superspaces – M2-branes
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