On non-minimal N=4 supermultiplets in 1D and their associated sigma-models

Abstract

We construct the non-minimal linear representations of the N=4 Extended Supersymmetry in one-dimension. They act on 8 bosonic and 8 fermionic fields. Inequivalent representations are specified by the mass-dimension of the fields and the connectivity of the associated graphs. The oxidation to minimal N=5 linear representations is given. Two types of N=4 sigma-models based on non-minimal representations are obtained: the resulting off-shell actions are either manifestly invariant or depend on a constrained prepotential. The connectivity properties of the graphs play a decisive role in discriminating inequivalent actions. These results find application in partial breaking of supersymmetric theories.

24 pages, 6 figures

References in corpus (11)

• Gauging N=4 supersymmetric mechanics II: (1,4,3) models from the (4,4,0) ones
• Refining the classification of the irreps of the 1D N-Extended Supersymmetry
• New Model of N=8 Superconformal Mechanics
• Spin Holography via Dimensional Enhancement
• Biharmonic Superspace for N=4 Mechanics
• Second Hopf map and supersymmetric mechanics with Yang monopole
• The Common Origin of Linear and Nonlinear Chiral Multiplets in N=4 Mechanics
• Decomposition and Oxidation of the N-Extended Supersymmetric Quantum Mechanics Multiplets
• One-dimensional sigma-models with N=5,6,7,8 off-shell supersymmetries
• Dimensional Enhancement via Supersymmetry
• The effect of fluctuations of the vortex core size on the static potentials evaluated by the thick center vortex model

Cited by in corpus (3)

• Critical scaling dimension of D-module representations of N=4,7,8 Superconformal Algebras and constraints on Superconformal Mechanics
• Pure and entangled N=4 linear supermultiplets and their one-dimensional sigma-models
• On Chiral and Nonchiral 1D Supermultiplets