Roaming moduli space using dynamical triangulations

J. Ambjorn; J. Barkley; T. Budd

doi:10.1016/j.nuclphysb.2012.01.010

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arXiv · 1110.4649

Roaming moduli space using dynamical triangulations

J. Ambjorn·J. Barkley·T. Budd

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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.

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J. Ambjorn, J. Barkley, T. Budd. 2011-10-20. Roaming moduli space using dynamical triangulations. https://doi.org/10.1016/j.nuclphysb.2012.01.010

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