Off-shell superconformal nonlinear sigma-models in three dimensions

Abstract

We develop superspace techniques to construct general off-shell N=1,2,3,4 superconformal sigma-models in three space-time dimensions. The most general N=3 and N=4 superconformal sigma-models are constructed in terms of N=2 chiral superfields. Several superspace proofs of the folklore statement that N=3 supersymmetry implies N=4 are presented both in the on-shell and off-shell settings. We also elaborate on (super)twistor realisations for (super)manifolds on which the three-dimensional N-extended superconformal groups act transitively and which include Minkowski space as a subspace.

67 pages; V2: typos corrected, one reference added, version to appear on JHEP

References in corpus (40)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Gauge Symmetry and Supersymmetry of Multiple M2-Branes
• Algebraic structures on parallel M2-branes
• Modeling Multiple M2's
• Comments on Multiple M2-branes
• N=1 Superconformal Symmetry in Four Dimensional Quantum Field Theory
• Locally supersymmetric D=3 non-linear sigma models
• Superconformal Hypermultiplets
• 4D N = 2 Supergravity and Projective Superspace
• Superconformal Symmetry and Correlation Functions
• Projective Superspace as a Double--Punctured Harmonic Superspace
• On conformal supergravity and projective superspace
• 5D Supergravity and Projective Superspace
• Feynman Rules in N=2 Projective Superspace I: Massless hypermultiplets
• On compactified harmonic/projective superspace, 5D superconformal theories, and all that
• Super-Weyl invariance in 5D supergravity
• Anomalous Magnetic Properties of Sr2YRuO6
• ABJM models in N=3 harmonic superspace
• Cones, Tri-Sasakian Structures and Superconformal Invariance
• Properties of hyperkahler manifolds and their twistor spaces
• Feynman rules in N=2 projective Superspace II: Massive hypermultiplets
• N=1 Superconformal Symmetry in Four Dimensions
• Superconformal Symmetry in Three-dimensions
• On superconformal projective hypermultiplets
• Superconformal Symmetry in Six-dimensions and Its Reduction to Four
• Five-dimensional Superfield Supergravity
• Gauging Isometries on Hyperkahler Cones and Quaternion-Kahler Manifolds
• The CNM-Hypermultiplet Nexus
• Extended Supersymmetry and Super-BF Gauge Theories
• 4D, N = 2 Supersymmetric Off-shell Sigma-Models on the Cotangent Bundles of Kahler Manifolds
• Harmonic Superspaces in Low Dimensions
• Rigid N=2 superconformal hypermultiplets
• Effective action of three-dimensional extended supersymmetric matter on gauge superfield background
• Polar supermultiplets, Hermitian symmetric spaces and hyperkahler metrics
• Superconformal Sigma Models in Higher Than Two Dimensions
• Superconformal Sigma Models in Three Dimensions
• N = 2 supersymmetric sigma-models and duality
• New extended superconformal sigma models and Quaternion Kahler manifolds
• Harmonic Superspaces For Three-Dimensional Theories
• New supersymmetric sigma-model duality

Cited by in corpus (35)

• Off-shell supergravity-matter couplings in three dimensions
• Conformal supergravity in five dimensions: New approach and applications
• Conformal supergravity in three dimensions: New off-shell formulation
• Three-dimensional N=2 (AdS) supergravity and associated supercurrents
• Conformal supergravity in three dimensions: Off-shell actions
• Off-shell massive N=1 supermultiplets in three dimensions
• Three-dimensional (p,q) AdS superspaces and matter couplings
• N=2 supersymmetric sigma-models in AdS
• Superspace formulation and correlation functions of 3d superconformal field theories
• Higher spin super-Cotton tensors and generalisations of the linear-chiral duality in three dimensions
• The structure of N=2 supersymmetric nonlinear sigma models in AdS_4
• Conformally compactified Minkowski superspaces revisited
• Off-shell higher spin N=2 supermultiplets in three dimensions
• Extended supersymmetric sigma models in AdS_4 from projective superspace
• Implications of N=4 superconformal symmetry in three spacetime dimensions
• Mixed three-point functions of conserved currents in three-dimensional superconformal field theory
• $\mathcal{N}=2$ supersymmetric higher spin gauge theories and current multiplets in three dimensions
• Notes on Super Killing Tensors
• Nonlinear sigma models with AdS supersymmetry in three dimensions
• Implications of N=5, 6 superconformal symmetry in three spacetime dimensions
• Defect multiplets of N=1 supersymmetry in 4d
• Three-point functions of a superspin-2 current multiplet in 3D, N=1 superconformal theory
• Supertwistor realisations of AdS superspaces
• The energy-momentum multiplet of supersymmetric defect field theories
• Embedding formalism for $\mathcal{N}$-extended AdS superspace in four dimensions
• Linearised actions for $\mathcal{N}$-extended (higher-spin) superconformal gravity
• Superconformal structures on the three-sphere
• On superconformal Chern-Simons-matter theories in N=4 superspace
• Three-point functions of conserved supercurrents in 3D $\mathcal{N}=1$ SCFT: general formalism for arbitrary superspins
• Non-Abelian Gauge Groups and Hypermultiplets in Projective Superspaces
• Off-shell construction of superconformal Chern-Simons theories in three dimensions
• Superconformal field theory in three dimensions: Correlation functions of conserved currents
• Nonlinear realisation approach to topologically massive supergravity
• The conformal supercurrents in diverse dimensions and conserved superconformal currents
• Topics in 3D N=2 AdS supergravity in superspace