A new N = 8 nonlinear supermultiplet

Details A new N = 8 nonlinear supermultiplet A new N = 8 nonlinear supermultiplet

2006-05-17

arxiv.org/abs/hep-th/0605165v1

Phys.Rev.D74:045005,2006

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1103/PhysRevD.74.045005

We construct a new off-shell $\mathcal{N}{=}8$, $d{=}1$ nonlinear supermultiplet $(\mathbf{4,8,4})$ 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 $(\mathbf{4,8,4})$ supermultiplet. The relations between linear and nonlinear $(\mathbf{4,8,4})$ supermultiplets and linear $\mathcal{N}{=}8$ $(\mathbf{5,8,3})$ vector supermultiplet are discussed.

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