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 $W_j^i$ 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.

31 + 10 pages,v2: minor corrections, references added

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Cited by in corpus (8)

• Super-Yang-Mills Theory in SIM(1) Superspace
• Monopoles, three-algebras and ABJM theories with $\mathbb{N}=5,6,8$ supersymmetry
• M5-brane Defect and QHE in AdS_4 x N(1,1)/N=3 SCFT
• Interaction between M2-branes and Bulk Form Fields
• Dual Instantons in Anti-membranes Theory
• Abelian Projections of the Mass-deformed ABJM theory and Weakly Curved Dual Geometry
• Wilson loops in N=6 superspace for ABJM theory
• Monopole operators and symmetry enhancement in ABJM theory revisited