Osp(1|2) and Sl(2) Reductions in Generalised Super-Toda Models and Factorization of Spin 1/2 Fields

Abstract

I show that the classical Toda models built on superalgebras, and obtained from a reduction with respect to an $Sl(2)$ algebra, are "linearly supersymmetrizable" (by adding spin 1/2 fields) if and only if the $Sl(2)$ is the bosonic part of an $OSp(1|2)$ algebra. In that case, the model is equivalent to the one constructed from a reduction with respect to the $OSp(1|2)$ algebra, up to spin 1/2 fields. The corresponding $W$ algebras are related through a factorization of spin 1/2 fields (bosons and fermions). I illustrate this factorization on an example: the superconformal algebra built on $Sl(n+1|2)$.

22 pages, Latex, NORDITA-93/39 P

References in corpus (4)

• W-symmetry in Conformal Field Theory
• How Complete is the Classification of W-Symmetries ?
• Hamiltonian Reduction and Classical Extended Superconformal Algebras
• Rational $W$ algebras from composite operators

Cited by in corpus (3)

• N=2 Affine Superalgebras and Hamiltonian Reduction in N=2 Superspace
• Quantum Hamiltonian Reduction in Superspace Formalism
• Real Forms of Non-abelian Toda Theories and their W-algebras