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

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arxiv hep-th/9407114 v2 pith:UV5V3KWG submitted 1994-07-19 hep-th

O. Ganor , J. Sonnenschein , S. Yankielowicz This is my paper · ORCID
classification hep-th
keywords theorystringformulageneralizedmapsapproacharbitrarybranch
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abstract

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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  1. Lattice defect networks in 2d Yang-Mills

    hep-th 2025-01 conditional novelty 6.0 of 10

    A refined lattice construction for 2d Yang-Mills realizes Wilson lines, Wilson points, theta angles, and defect networks as local n-line junctions that close under fusion.

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