2D Yang-Mills Theory as a Matrix String Theory

Details 2D Yang-Mills Theory as a Matrix String Theory 2D Yang-Mills Theory as a Matrix String Theory

1999-01-13

arxiv.org/abs/hep-th/9901053v1

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, LaTeX, 2 figures included with epsf. Talk presented at the 2nd Conference on Quantum aspects of Gauge Theories, Supe

Scientific paper

10.1007/BFb0104250

Quantization of two-dimensional Yang-Mills theory on a torus in the gauge where the field strength is diagonal leads to twisted sectors that are completely analogous to the ones that originate long string states in Matrix String Theory. If these sectors are taken into account the partition function is different from the standard one found in the literature and the invariance of the theory under modular transformations of the torus appears to hold in a stronger sense. The twisted sectors are in one-to-one correspondence with the coverings of the torus without branch points, so they define by themselves a string theory. A possible duality between this string theory and the Gross-Taylor string is discussed, and the problems that one encounters in generalizing this approach to interacting strings are pointed out. This talk is based on a previous paper by the same authors, but it contains some new results and a better interpretation of the results already obtained.

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