Semi-classical dynamical triangulations


For non-critical string theory the partition function reduces to an integral over moduli space after integrating over matter fields. The moduli integrand is known analytically for genus one surfaces. The formalism of dynamical triangulations provides us with a regularization of non-critical string theory and we show that even for very small triangulations it reproduces very well the continuum integrand when the central charge c of the matter fields is large negative, thus providing a striking example of how the quantum fluctuations of geometry disappear when $c\to-\infty$.

Phys. Lett. B 718 (2012) 200-204


  1. Maltz, Jonathan. “Gauge invariant computable quantities in timelike Liouville theory.” Journal of High Energy Physics 2013.1 (2013): 151.
  2. Ambjørn, J., and Timothy Budd. “The toroidal Hausdorff dimension of 2d Euclidean quantum gravity.” Physics Letters B 724.4-5 (2013): 328-332.
  3. Ambjørn, Jan, et al. “The spectral dimension in 2D CDT gravity coupled to scalar fields.” Modern Physics Letters A 30.13 (2015): 1550077.
  4. Maltz, Jonathan David. Towards a String Theory Model of de Sitter Space and Early Universe Cosmology. Diss. Stanford University, 2013.
  5. Ambjorn, J., and T. Budd. “Two-Dimensional Quantum Geometry.” arXiv preprint arXiv:1310.8552 (2013).
  6. Maltz, Jonathan. “Towards String Theory models of DeSitter Space and early Universe Cosmology.” arXiv preprint arXiv:1309.2356 (2013).
  7. Ambjørn, Jan, Zbigniew Drogosz, Jakub Gizbert-Studnicki, and Jerzy Jurkiewicz. “Pseudo-Cartesian coordinates in a model of Causal Dynamical Triangulations.” arXiv preprint arXiv:1812.10671 (2018).
  8. J. Barkley and T. Budd, “Precision measurements of Hausdorff dimensions in two-dimensional quantum gravity”, arXiv preprint arXiv:1908.09469 (2019).