2010/08/31 by Henning Samtleben, Robert Wimmer · 35 citations
Mathematics · Physics and Astronomy · #Algebraic number #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #F-term #Geometry #Homogeneous space #Magnetic monopole #Mathematical analysis #Mathematical physics #Mathematics #Operator (biology) #Particle physics theoretical and experimental studies #Physics #Pure mathematics #Quantum mechanics #Scalar (mathematics) #Supergravity #Supermultiplet #Superspace #Supersymmetry #hep-th
paper · pdf · doi:10.1007/jhep10(2010)080
published in Journal of High Energy Physics 2010(10) (Springer Nature) · 31 + 10 pages,v2: minor corrections, references added
openalex publication_date 2010/10/01 · arxiv created 2010/10/21 · arxiv updated 2010/10/28 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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 Wj 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.