Duality of a Generalized Gauge Invariant Ising Model on Random Surfaces

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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(13 pages, 5 figures on request) Siegen Si-93-06

Scientific paper

A generalized gauge invariant Ising model on random surfaces with non-trivial
topology is proposed and investigated with the dual transformation. It is
proved that the model is self-dual in case of a self-dual lattice. In special
cases the model reduces to the known solvable Ising-type models.

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