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

Abstract

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

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