Generalized two-dimensional Yang-Mills theory is a matrix string theory

Physics – High Energy Physics – High Energy Physics - Theory

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LaTeX, 10 pages, uses espcrc2.sty. Presented by A. D'adda at the Third Meeting on Constrained Dynamics and Quantum Gravity, Vi

Scientific paper

10.1016/S0920-5632(00)00762-3

We consider two-dimensional Yang-Mills theories on arbitrary Riemann surfaces. We introduce a generalized Yang-Mills action, which coincides with the ordinary one on flat surfaces but differs from it in its coupling to two-dimensional gravity. The quantization of this theory in the unitary gauge can be consistently performed taking into account all the topological sectors arising from the gauge-fixing procedure. The resulting theory is naturally interpreted as a Matrix String Theory, that is as a theory of covering maps from a two-dimensional world-sheet to the target Riemann surface.

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