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Curvature Matrix Models for Dynamical Triangulations and the Itzykson-DiFrancesco Formula
Richard J. Szabo, John F. Wheater
We study the large-N limit of a class of matrix models for dually weighted triangulated random surfaces using character expansion techniques. We show that for various choices of th…
Equivariant Localization of Path Integrals
Richard J. Szabo
We review equivariant localization techniques for the evaluation of Feynman path integrals. We develop systematic geometric methods for studying the semi-classical properties of ph…
Conformal Dimensions from Topologically Massive Quantum Field Theory
G. Amelino-Camelia, I. I. Kogan, R. J. Szabo
We discuss the evaluation of observables in two-dimensional conformal field theory using the topological membrane description. We show that the spectrum of anomalous dimensions can…
Fermionic Matrix Models
Gordon W. Semenoff, Richard J. Szabo
We review a class of matrix models whose degrees of freedom are matrices with anticommuting elements. We discuss the properties of the adjoint fermion one-, two- and gauge invarian…
Polymer Statistics and Fermionic Vector Models
Gordon W. Semenoff, Richard J. Szabo
We consider a variation of -symmetric vector models in which the vector components are Grassmann numbers. We show that these theories generate the same sort of random polymer…