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

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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20 pages, amslatex

Scientific paper

10.1016/S0550-3213(98)00453-2

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.

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