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

Minoru Wakimoto

Published 1997-06-04, updated 1997-06-09Version 2

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