Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1996-10-11
Int.J.Mod.Phys. A12 (1997) 4317-4355
Physics
High Energy Physics
High Energy Physics - Theory
35 pages, Latex
Scientific paper
10.1142/S0217751X97002358
We supplement the discussion of Moore and Reshetikhin and others by finding new semiclassical nonabelian vertex operators for the chiral, antichiral and nonchiral primary fields of WZW theory. These new nonabelian vertex operators are the natural generalization of the familiar abelian vertex operators: They involve only the representation matrices of Lie $g$, the currents of affine $(g \times g)$ and certain chiral and antichiral zero modes, and they reduce to the abelian vertex operators in the limit of abelian algebras. Using the new constructions, we also discuss semiclassical operator product expansions, braid relations and relations to the known form of the semiclassical affine-Sugawara conformal blocks.
Halpern M. B.
Obers Niels A.
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