AREA PRESERVING DIFFEOMORPHISMS AS A BRIDGE BETWEEN STRINGS AND LARGE N QCD

In this talk I will describe an attempt to bridge string theory and large N QCD, as obtained in a recent paper [1]. This is based on a relation between area preserving diffeomorphisms and SU(∞). The reduced model of QCD takes the form of a version of string theory that is related to ordinary string theory in the gauge det(γ) = −1, where γ_iy is the world sheet metric. This relationship may open the way to cross fertilization between these two theories. In order to discuss these points we briefly review some highlights of reduced models and area preserving diffeomorphisms and then apply the formalism to gauge theories and matrix models.