N=6 Superspace Constraints, SUSY Enhancement and Monopole Operators
arXiv:1008.2739 · doi:10.1007/JHEP10(2010)080
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 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 (28)
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- Multiple Membranes in M-theory
- Enhanced N=8 Supersymmetry of ABJM Theory on R(8) and R(8)/Z(2)
- Quantum moduli space of Chern-Simons quivers, wrapped D6-branes and AdS4/CFT3
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- Partially Supersymmetric ABJM Theory with Flux
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- Polyakov Loops for the ABJ Theory
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