A new N = 8 nonlinear supermultiplet

Abstract

We construct a new off-shell $\mathcal{N}=8$, $d=1$ nonlinear supermultiplet $(4,8,4)$ proceeding from the nonlinear realization of the $\mathcal{N}=8$, $d=1$ superconformal group $OSp(4^{\star }|4)$ in its supercoset $\frac{OSp(4^{\star }|4)}{SU(2{)}_{\mathcal{R}}\otimes \left\{D,K\right\}\otimes SO(4)}$. The irreducibility constraints for the superfields automatically follow from appropriate covariant conditions on the $osp(4^{\star }|4)$-valued Cartan superforms. We present the most general sigma-model type action for $(4,8,4)$ supermultiplet. The relations between linear and nonlinear $(4,8,4)$ supermultiplets and linear $\mathcal{N}=8$ $(5,8,3)$ vector supermultiplet are discussed.

15 pages, LaTeX file, PACS numbers: 11.30.Pb, 03.65.-w

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• Superfield Formulation of Nonlinear N=4 Supermultiplets
• Nonlinear (4, 8, 4) Multiplet of N=8, d=1 Supersymmetry
• Supersymmetric Extension of Hopf Maps: N=4 sigma-models and the S^3 -> S^2 Fibration
• Two faces of $N=7,8$ superconformal mechanics
• N=8 supersymmetric mechanics on the sphere S^3
• N=4, d=3 nonlinear electrodynamics