6D Supersymmetric Nonlinear Sigma-Models in 4D, N=1 Superspace

Abstract

Using 4D, N=1 superfield techniques, a discussion of the 6D sigma-model possessing simple supersymmetry is given. Two such approaches are described. Foremost it is shown that the simplest and most transparent description arises by use of a doublet of chiral scalar superfields for each 6D hypermultiplet. A second description that is most directly related to projective superspace is also presented. The latter necessarily implies the use of one chiral superfield and one nonminimal scalar superfield for each 6D hypermultiplet. A separate study of models of this class, outside the context of projective superspace, is also undertaken.

arXiv comment35 pages, LaTeX. v3: some comments added, version to appear in JHEP

References in corpus (27)

• Matrix Description of M-theory on $T^5$ and $T^5/Z_2$
• Matrix Description of M-theory on $T^4$ and $T^5$
• Higher dimensional supersymmetry in 4D superspace
• Hypermultiplets, Hyperkahler Cones and Quaternion-Kahler Geometry
• Projective Superspace as a Double--Punctured Harmonic Superspace
• Feynman Rules in N=2 Projective Superspace I: Massless hypermultiplets
• On compactified harmonic/projective superspace, 5D superconformal theories, and all that
• On Five-dimensional Superspaces
• Feynman rules in N=2 projective Superspace II: Massive hypermultiplets
• Superspace, or One thousand and one lessons in supersymmetry
• The CNM-Hypermultiplet Nexus
• 4D, N = 2 Supersymmetric Off-shell Sigma-Models on the Cotangent Bundles of Kahler Manifolds
• Why Auxiliary Fields Matter: The Strange Case of the 4D, N = 1 Supersymmetric QCD Effective Action
• Hyper-Kahler Sigma Models on (Co)tangent Bundles with SO(n) isometry
• Why Auxiliary Fields Matter: The Strange Case of the 4D, N = 1 Supersymmetric QCD Effective Action (II)
• 6D Supersymmetry, Projective Superspace and 4D, N=1 Superfields
• On superpotentials for nonlinear sigma-models with eight supercharges
• CNM Models, Holomorphic Functions and Projective Superspace C-Maps
• Feynman Rules in N=2 projective superspace III: Yang-Mills multiplet
• N=2 Nonlinear Sigma Models in N=1 Superspace: Four and Five Dimensions
• The nonminimal scalar multiplet: duality, sigma-model, beta-function
• Quantization of the complex linear superfield
• Quantization of N=1 chiral/nonminimal (CNM) scalar multiplets and supersymmetric Yang-Mills theories
• The nonminimal scalar multiplet coupled to supersymmetric Yang-Mills
• Geometry and beta-functions for N=2 matter models in two dimensions
• Notes on the Quantization of the Complex Linear Superfield
• Supersymmetry, a Biased Review

Cited by in corpus (21)

• 5D Supergravity and Projective Superspace
• Six-dimensional Supergravity and Projective Superfields
• Five-dimensional N = 1 AdS superspace: Geometry, off-shell multiplets and dynamics
• N=2 supersymmetric sigma-models in AdS
• Lectures on nonlinear sigma-models in projective superspace
• 6D Supersymmetry, Projective Superspace and 4D, N=1 Superfields
• Extended supersymmetric sigma models in AdS_4 from projective superspace
• 2D N=(4,4) superspace supergravity and bi-projective superfields
• Five-dimensional supersymmetric Chern-Simons action as a hypermultiplet quantum correction
• On superpotentials for nonlinear sigma-models with eight supercharges
• N = 2 supersymmetric sigma-models and duality
• New massive supergravity multiplets
• N=2 Nonlinear Sigma Models in N=1 Superspace: Four and Five Dimensions
• Hyper-Dilaton Weyl Multiplets of 5D and 6D Minimal Conformal Supergravity
• Adinkra `Color' Confinement In Exemplary Off-Shell Constructions Of 4D, $\mathcal{N}$ = 2 Supersymmetry Representations
• On 1D, N = 4 Supersymmetric SYK-Type Models (I)
• Supersymmetric Nonlinear Sigma Model in AdS_5
• Covariant N=2 heterotic string in four dimensions
• Partial $\mathcal{N}=2$ Supersymmetry Breaking and Deformed Hypermultiplets
• Full diffeomorphism and Lorentz invariance in 4D $\mathcal{N}=1$ superfield description of 6D SUGRA
• Non-Abelian Gauge Groups and Hypermultiplets in Projective Superspaces