An n=(1|1) super--Toda Model Based on OSp(1|4)

Abstract

We show that a Hamiltonian reduction of affine Lie superalgebras having bosonic simple roots (such as $OSp(1|4)$) ``does'' produce supersymmetric Toda models, with superconformal symmetry being nonlinearly realised for those fields of the Toda system which are related to the bosonic simple roots of the superalgebra. A fermionic $b-c$ system of conformal spin $(3/2,-1/2)$ is a natural ingredient of such models.