New Model of N=8 Superconformal Mechanics

Abstract

Using an N=4, d=1 superfield approach, we construct an N=8 supersymmetric action of the self-interacting off-shell N=8 multiplet {\bf (1, 8, 7)}. This action is found to be invariant under the exceptional N=8, d=1 superconformal group F(4) with the R-symmetry subgroup SO(7). The general N=8 supersymmetric {\bf (1, 8, 7)} action is a sum of the superconformal action and the previously known free bilinear action. We show that the general action is also superconformal, but with respect to redefined superfield transformation laws. The scalar potential can be generated by two Fayet-Iliopoulos N=4 superfield terms which preserve N=8 supersymmetry but break the superconformal and SO(7) symmetries.

arXiv comment10 pages, LaTeX

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• Biharmonic Superspace for N=4 Mechanics
• Critical scaling dimension of D-module representations of N=4,7,8 Superconformal Algebras and constraints on Superconformal Mechanics
• The algebraic structure of Galilean superconformal symmetries
• SU(2) reduction in N=4 supersymmetric mechanics
• SU(2|2) supersymmetric mechanics
• On non-minimal N=4 supermultiplets in 1D and their associated sigma-models
• The quasi-nonassociative exceptional $F(4)$ deformed quantum oscillator
• New realizations of the supergroup D(2,1;α) in N=4 superconformal mechanics
• One-dimensional sigma-models with N=5,6,7,8 off-shell supersymmetries
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• On General Off-Shell Representations of Worldline (1D) Supersymmetry
• N=3 Superparticle Model
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• N=4 mechanics with diverse (4,4,0) multiplets: explicit examples of HKT, CKT, and OKT geometries
• Note on $\mathcal{N}=8$ supersymmetric mechanics with dynamical and semi-dynamical multiplets
• N=8 superconformal mechanics: direct construction
• Two faces of $N=7,8$ superconformal mechanics
• Target duality in N=8 superconformal mechanics and the coupling of dual pairs