A construction of N=2 and centerless N=4 superconformal fields via affine superalgebras

Minoru Wakimoto

doi:10.1016/S0550-3213(98)00453-2

paper

A construction of N=2 and centerless N=4 superconformal fields via affine superalgebras

arXiv:hep-th/9706026 · doi:10.1016/S0550-3213(98)00453-2

Abstract

In this note we give a new construction of the N=2 superconformal algebra using currents of the affine superalgebra $s l^(2∣1)$ and free bosonic fields, and also the N=4 superconformal algebra without central charge in terms of currents of $s l^(2∣2)$ and free bosonic fields. Arguments on commutants and invariant subspaces are added.

arXiv comment20 pages, amslatex