  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.
