Screening Currents in Affine Current Algebra

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In this paper screening currents of the second kind are considered. They are constructed in any affine current algebra for directions corresponding to simple roots with multiplicity one in a decomposition of the highest root on a set of simple roots. These expressions are precisely of the form previously conjectured to be valid for all directions in general affine current algebras. However, by working out explicitly the screening currents in the case of SO(5) based on the Lie algebra B₂, it is demonstrated that much more complicated structures appear in the general case. In the distinguished representation of affine OSp(2|2) current superalgebra, the screening current of the second kind in the bosonic direction is also provided.