The Complex Structure of 2D Surfaces

Details The Complex Structure of 2D Surfaces The Complex Structure of 2D Surfaces

1995-12-08

arxiv.org/abs/hep-lat/9512014v1

Nucl.Phys.Proc.Suppl. 47 (1996) 653-656

Physics

High Energy Physics

High Energy Physics - Lattice

4 pages of Latex, 6 Postscript figures(not include Fig.6). Uuencoded and use fleqn.sty, espcrc2.sty and psfig.sty files. Fig.6

Scientific paper

10.1016/0920-5632(96)00143-0

The complex structure of a surface generated by the two-dimensional dynamical triangulation(DT) is determined by measuring the resistivity of the surface. It is found that surfaces coupled to matter fields have well-defined complex structures for cases when the matter central charges are less than or equal to one, while they become unstable beyond c=1. A natural conjecture that fine planar random network of resistors behave as a continuous sheet of constant resistivity is justified numerically for c<1.

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