Large N 2D Yang-Mills Theory and Topological String Theory
Abstract
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.
Keywords
Cite
@article{arxiv.hep-th/9402107,
title = {Large N 2D Yang-Mills Theory and Topological String Theory},
author = {Stefan Cordes and Gregory Moore and Sanjaye Ramgoolam},
journal= {arXiv preprint arXiv:hep-th/9402107},
year = {2009}
}
Comments
95 pages, 15 Postscript figures, uses harvmac (Please use the "large" print option.) Extensive revisions of the sections on topological field theory. Added a compact synopsis of topological field theory. Minor typos corrected. References added