Large N 2D Yang-Mills Theory and Topological String Theory

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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95 pages, 15 Postscript figures, uses harvmac (Please use the "large" print option.) Extensive revisions of the sections on to

Scientific paper

10.1007/s002200050102

We describe a topological string theory which reproduces many aspects of the 1/N expansion of SU(N) Yang-Mills theory in two spacetime dimensions in the zero coupling (A=0) limit. The string theory is a modified version of topological gravity coupled to a topological sigma model with spacetime as target. The derivation of the string theory relies on a new interpretation of Gross and Taylor's ``\Omega^{-1} points.'' We describe how inclusion of the area, coupling of chiral sectors, and Wilson loop expectation values can be incorporated in the topological string approach.

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