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arXiv · hep-th/9503052

Complex Structures Defined on Dynamically Triangulated Surfaces

H. Kawai·N. Tsuda·T. Yukawa
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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 spins ($m=1$ 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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H. Kawai, N. Tsuda, T. Yukawa. 1995-03-08. Complex Structures Defined on Dynamically Triangulated Surfaces. https://doi.org/10.1016/0370-2693(95)00368-u

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