Two-dimensional Yang-Mills Theories Are String Theories

Details Two-dimensional Yang-Mills Theories Are String Theories Two-dimensional Yang-Mills Theories Are String Theories

1993-05-21

arxiv.org/abs/hep-th/9305097v2

Mod.Phys.Lett.A8:2223-2236,1993

Physics

High Energy Physics

High Energy Physics - Theory

(two references added; one old, one recent) 14pages, Latex, BRX-TH-346, JHU-TIPAC-930015

Scientific paper

10.1142/S0217732393001951

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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