Complex structures defined on dynamically triangulated surfaces

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.