Roaming moduli space using dynamical triangulations

Abstract

In critical as well as in non-critical string theory the partition function reduces to an integral over modulispace after integration over matter fields. For non-critical string theory this moduli integrand is known for genus one surfaces. The formalism of dynamicaltriangulations 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