Large $N$ Solution of the 2D Supersymmetric Yang-Mills Theory

Abstract

The Schwinger-Dyson equations of the Makeenko-Migdal type, when supplemented with some simple equations as consequence of supersymmetry, form a closed set of equations for Wilson loops and related quantities in the two dimensional super-gauge theory. We solve these equations. It appears that the planar Wilson loops are described by the Nambu string without folds. We also discuss how to put the model on a spatial lattice, where a peculiar gauge is chosen in order to keep one supersymmetry on the lattice. Supersymmetry is unbroken in this theory. We comment on possible generalization of these considerations to other models.

22 pages, 5 figures included, harvmac

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• Can DLCQ test the Maldacena Conjecture?
• SDLCQ: Supersymmetric Discrete Light Cone Quantization
• Vacuum Structures of Supersymmetric Yang-Mills Theories in $1+1$ Dimensions
• Quenched Two Dimensional Supersymmetric Yang-Mills Theory