2008/04/01 by J. Ambjorn, R. Loll, Y. Watabiki +2 · 1 citation
Physics and Astronomy · #hep-th #gr-qc
paper · pdf · doi:10.1016/j.physletb.2008.06.026
published as Phys.Lett.B665:252-256,2008 · 13 pages, 1 figure
arxiv created 2008/04/01 · arxiv updated 2009/12/01
A novel continuum theory of two-dimensional quantum gravity, based on a version of Causal Dynamical Triangulations which incorporates topology change, has recently been formulated as a genuine string field theory in zero-dimensional target space (arXiv:0802.0719). Here we show that the Dyson-Schwinger equations of this string field theory are reproduced by a cubic matrix model. This matrix model also appears in the so-called Dijkgraaf-Vafa correspondence if the superpotential there is required to be renormalizable. In the spirit of this model, as well as the original large-N expansion by 't Hooft, we need no special double-scaling limit involving a fine tuning of coupling constants to obtain the continuum quantum-gravitational theory. Our result also implies a matrix model representation of the original, strictly causal quantum gravity model.