Abstract

We review the general properties of affine Chern-Simons theories and ensuing WZNW models. We quantize the former in the Schrödinger representation. We solve the Gauss constraint equations and construct holonomies in the punctured R 2 plane. We then study the reduction of affine WZNW models to affine Toda field theories both classically and from the point of view of the partition function. We analyze as well a different reduction to a previously introduced conformal invariant integrable model. Finally we pass from the latter to a generalization of the sinh-Gordon model through a process of hamiltonian reduction and spontaneous symmetry breaking of the conformal symmetry.

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