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Roaming moduli space using dynamical triangulations
Authors:J. Ambjø  rn,J. Barkley
Affiliation:a The Niels Bohr Institute, Copenhagen University, Blegdamsvej 17, DK-2100 Copenhagen Ø, Denmark
b Institute for Theoretical Physics, Utrecht University, Leuvenlaan 4, NL-3584 CE Utrecht, The Netherlands
Abstract:In critical as well as in non-critical string theory the partition function reduces to an integral over moduli space after integration over matter fields. For non-critical string theory this moduli integrand is known for genus one surfaces. The formalism of dynamical triangulations provides us with a regularization of non-critical string theory. We show how to assign in a simple and geometrical way a moduli parameter to each triangulation. After integrating over possible matter fields we can thus construct the moduli integrand. We show numerically for c=0 and c=−2 non-critical strings that the moduli integrand converges to the known continuum expression when the number of triangles goes to infinity.
Keywords:Quantum gravity   Lower-dimensional models   Lattice models
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