The String Theory Approach to Generalized 2D Yang-Mills Theory

Details The String Theory Approach to Generalized 2D Yang-Mills Theory The String Theory Approach to Generalized 2D Yang-Mills Theory

1994-07-19

arxiv.org/abs/hep-th/9407114v2

Nucl.Phys. B434 (1995) 139-178

Physics

High Energy Physics

High Energy Physics - Theory

TAUP-2182-94, 53 pages of LaTeX and 5 uuencoded eps figures

Scientific paper

10.1016/0550-3213(94)00397-W

We calculate the partition function of the $SU(N)$ ( and $U(N)$) generalized $YM_2$ theory defined on an arbitrary Riemann surface. The result which is expressed as a sum over irreducible representations generalizes the Rusakov formula for ordinary YM_2 theory. A diagrammatic expansion of the formula enables us to derive a Gross-Taylor like stringy description of the model. A sum of 2D string maps is shown to reproduce the gauge theory results. Maps with branch points of degree higher than one, as well as ``microscopic surfaces'' play an important role in the sum. We discuss the underlying string theory.

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