Two-Dimensional Chiral Matrix Models and String Theories

Abstract

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.

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

References in corpus (3)

• Character Expansion Methods for Matrix Models of Dually Weighted Graphs
• Exact Solution of Discrete Two-Dimensional R^2 Gravity
• Almost Flat Planar Diagrams

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• Branes, Anti-Branes and Brauer Algebras in Gauge-Gravity duality
• The Plane-Wave/Super Yang-Mills Duality
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• Superintegrability summary
• Octagons I: Combinatorics and Non-Planar Resummations
• New Insights into Superintegrability from Unitary Matrix Models
• CFT approach to constraint operators for ($\beta$-deformed) hermitian one-matrix models
• BMN Correlators by Loop Equations
• Bilinear character correlators in superintegrable theory
• Two-dimensional gauge theories of the symmetric group S_n in the large-n limit
• Two $\beta$-ensemble realization of $\beta$-deformed WLZZ models
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• Natanzon-Orlov model and refined superintegrability
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• Deformation of superintegrability in the Miwa-deformed Gaussian matrix model
• Two-dimensional gauge theories of the symmetric group S(n) and branched n-coverings of Riemann surfaces in the large-n limit
• Three-point Functions in $\mathcal{N}=4$ SYM at Finite $N_c$ and Background Independence
• Branched Coverings and Interacting Matrix Strings in Two Dimensions
• Generalized two-dimensional Yang-Mills theory is a matrix string theory
• Integrability and Matrix Models