Abstract

A method to define the complex structure and separate the conformal mode is proposed for a surface constructed by two-dimensional dynamical triangulation. Applications are made for surfaces coupled to matter fields such as n scalar fields ( n = 0,1 and 4) and m Ising ( m = 1 and 3). We observe a well-defined complex structure for cases when the matter central charges are less than and equal to one, while it becomes unstable beyond c = 1. This can be regarded as the transition expected in analytic theories.

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