Roaming moduli space using dynamical triangulations

Details Roaming moduli space using dynamical triangulations Roaming moduli space using dynamical triangulations

2011-10-20

arxiv.org/abs/1110.4649v1

Nucl. Phys. B 858: 267-292, 2012

Physics

High Energy Physics

High Energy Physics - Theory

32 pages, many (nice) figures

Scientific paper

10.1016/j.nuclphysb.2012.01.010

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.

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