$W_{\infty }$ 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.

arXiv comment3 pages, latex, conference talk