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String Theoretical Interpretation for Finite N Yang-Mills Theory in Two-Dimensions

Toshihiro Matsuo·So Matsuura
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Abstract

We discuss the equivalence between a string theory and the two-dimensional Yang-Mills theory with SU(N) gauge group for finite N. We find a sector which can be interpreted as a sum of covering maps from closed string world-sheets to the target space, whose covering number is less than N. This gives an asymptotic expansion of 1/N whose large N limit becomes the chiral sector defined by D.Gross and W.Taylor. We also discuss that the residual part of the partition function provides the non-perturbative corrections to the perturbative expansion.

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Toshihiro Matsuo, So Matsuura. 2004-11-22. String Theoretical Interpretation for Finite N Yang-Mills Theory in Two-Dimensions. https://doi.org/10.1142/s0217732305016348

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