STRINGS FROM REDUCED LARGE-N GAUGE-THEORY VIA AREA PRESERVING DIFFEOMORPHISMS

We map reduced large-N theories to a string formalism by using area preserving diffeomorphisms as a substitute for SU (∞). We suggest that there may be a limiting procedure, that involves a correlation between the limits of N and a cutoff parameter, in which the path integral of the reduced QCD model produces a sum over all Riemann surfaces in the form of an effective string theory. In particular large-N QCD becomes related to a string theory with the usual action, but with the world sheet metric gauge fixed to det (γ)=-1 and a path integral measure different than the standard one. The measure could be changed to define a new large-N matrix path integral that is more faithful to string theory. © 1990.