Two-Dimensional Chiral Matrix Models and String Theories

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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Details

12 pages, 1 figure, TeX, harvmac.tex, epsf.tex, minor corrections

Scientific paper

10.1016/S0370-2693(96)01664-4

We formulate and solve a class of two-dimensional matrix gauge models describing ensembles of non-folding surfaces covering an oriented, discretized, two-dimensional manifold. We interpret the models as string theories characterized by a set of coupling constants associated to worldsheet ramification points of various orders. Our approach is closely related to, but simpler than, the string theory describing two-dimensional Yang-Mills theory. Using recently developed character expansion methods we exactly solve the models for target space lattices of arbitrary internal connectivity and topology.

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