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arxiv: hep-lat/9609002 · v1 · submitted 1996-08-30 · ✦ hep-lat

Complex structure of a DT surface with T² topology

classification ✦ hep-lat
keywords complexstructureliouvillemodulisurfacetheorytopologycompared
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A method of defining the complex structure(moduli) for dynamically triangulated(DT) surfaces with torus topology is proposed. Distribution of the moduli parameter is measured numerically and compared with the Liouville theory for the surface coupled to c = 0, 1 and 2 matter. Equivalence between the dynamical triangulation and the Liouville theory is established in terms of the complex structure.

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