Screening Currents in Affine Current Algebra

Details Screening Currents in Affine Current Algebra Screening Currents in Affine Current Algebra

1997-11-19

arxiv.org/abs/q-alg/9711017v1

Physics

High Energy Physics

High Energy Physics - Theory

18 pages, LaTeX

Scientific paper

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 B_2, 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.

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