Complex structure of a DT surface with $T^2$ topology

Details Complex structure of a DT surface with $T^2$ topology Complex structure of a DT surface with $T^2$ topology

1996-08-30

arxiv.org/abs/hep-lat/9609002v1

Nucl.Phys.Proc.Suppl. 53 (1997) 777-779

Physics

High Energy Physics

High Energy Physics - Lattice

3 pages, 5 ps-figures, espcrc2.sty included. Talk presented at LATTICE96(gravity)

Scientific paper

10.1016/S0920-5632(96)00779-7

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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