$W_{\infty }$ Algebra and Geometric Formulation of QCD${}_2$

Abstract

We review the gauge invariant formulation of 2-dim. QCD. We show that the non-linear gauge invariant phase space is the coset $W_{\infty }/W_{+\infty }\times W_{-\infty }$ ,which is specified by the $N=\infty$ master-field of this model. The meson fields correspond to the local coordinates of the coset. We comment on the stringy collective coordinates of the solitons (baryons) in this model.

3 pages, latex, conference talk