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arXiv · hep-th/9305097

Two-dimensional Yang-Mills Theories Are String Theories

S. G. Naculich·H. A. Riggs·H. J. Schnitzer
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Abstract

We show that two-dimensional SO(N) and Sp(N) Yang-Mills theories without fermions can be interpreted as closed string theories. The terms in the 1/N expansion of the partition function on an orientable or nonorientable manifold M can be associated with maps from a string worldsheet onto M. These maps are unbranched and branched covers of M with an arbitrary number of infinitesimal worldsheet cross-caps mapped to points in M. These string theories differ from SU(N) Yang-Mills string theory in that they involve odd powers of 1/N and require both orientable and nonorientable worldsheets.

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S. G. Naculich, H. A. Riggs, H. J. Schnitzer. 1993-05-25. Two-dimensional Yang-Mills Theories Are String Theories. https://doi.org/10.1142/s0217732393001951

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