The Complex Structure of 2D Surfaces
High Energy Physics - Lattice
2009-10-28 v1
Abstract
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.
Cite
@article{arxiv.hep-lat/9512014,
title = {The Complex Structure of 2D Surfaces},
author = {H. Kawai and N. Tsuda and T. Yukawa},
journal= {arXiv preprint arXiv:hep-lat/9512014},
year = {2009}
}
Comments
4 pages of Latex, 6 Postscript figures(not include Fig.6). Uuencoded and use fleqn.sty, espcrc2.sty and psfig.sty files. Fig.6 available by request from [email protected], together with a hard copy of the paper. Contribution to Lattice'95