Complex Structures Defined on Dynamically Triangulated Surfaces

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.

8 pages, 5 Postscript figures

References in corpus (6)

• Transfer Matrix Formalism for Two-Dimensional Quantum Gravity and Fractal Structures of Space-time
• Matter fields with c > 1 coupled to 2d gravity
• Multiple Potts Models Coupled to Two-Dimensional Quantum Gravity
• Numerical Study of c>1 Matter Coupled to Quantum Gravity
• Two Ising Models Coupled to 2-Dimensional Gravity
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Cited by in corpus (5)

• Roaming moduli space using dynamical triangulations
• Semi-classical Dynamical Triangulations
• 2D Quantum Gravity -Three States of Surfaces-
• Field condensations and Noncritical String for c>1
• Complex structure of a DT surface with $T^2$ topology