English

Roaming moduli space using dynamical triangulations

High Energy Physics - Theory 2012-02-06 v1 General Relativity and Quantum Cosmology High Energy Physics - Lattice

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=0c=0 and c=2c=-2 non-critical strings that the moduli integrand converges to the known continuum expression when the number of triangles goes to infinity.

Keywords

Cite

@article{arxiv.1110.4649,
  title  = {Roaming moduli space using dynamical triangulations},
  author = {J. Ambjorn and J. Barkley and T. Budd},
  journal= {arXiv preprint arXiv:1110.4649},
  year   = {2012}
}

Comments

32 pages, many (nice) figures

R2 v1 2026-06-21T19:23:31.148Z