Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1995-06-29
Int.J.Mod.Phys. A11 (1996) 2167-2212
Physics
High Energy Physics
High Energy Physics - Theory
46 pages, Latex
Scientific paper
Working directly on affine Lie groups, we construct several new formulations of the WZW model. In one formulation WZW is expressed as a one-dimensional mechanical system whose variables are coordinates on the affine Lie group. When written in terms of the affine group element, this formulation exhibits a two-dimensional WZW term. In another formulation WZW is written as a two-dimensional field theory, with a three-dimensional WZW term, whose fields are coordinates on the affine group. On the basis of these equivalent formulations, we develop a translation dictionary in which the new formulations on the affine Lie group are understood as mode formulations of the conventional WZW formulation on the Lie group. Using this dictionary, we also express WZW as a three-dimensional field theory on the Lie group with a four-dimensional WZW term.
Clubok K.
Halpern M. B.
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