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

TL;DR

This paper demonstrates that Hamiltonian reduction of affine Lie superalgebras like OSp(1|4) yields supersymmetric Toda models with nonlinear superconformal symmetry, incorporating a fermionic b-c system.

Contribution

It shows that affine Lie superalgebras with bosonic simple roots can produce supersymmetric Toda models through Hamiltonian reduction, revealing new structures in superconformal symmetry.

Findings

Supersymmetric Toda models arise from affine Lie superalgebras with bosonic roots.

Superconformal symmetry is nonlinearly realized in these models.

A fermionic b-c system naturally appears in the construction.

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.