Roaming moduli space using dynamical triangulations
| Autor: | Ambjorn, J., Barkley, J., Budd, T. |
|---|---|
| Rok vydání: | 2011 |
| Předmět: | |
| Zdroj: | Nucl. Phys. B 858: 267-292, 2012 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1016/j.nuclphysb.2012.01.010 |
| Popis: | 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. Comment: 32 pages, many (nice) figures |
| Databáze: | arXiv |
| Externí odkaz: |
|