A Matrix Model for 2D Quantum Gravity defined by Causal Dynamical Triangulations

Details A Matrix Model for 2D Quantum Gravity defined by Causal Dynamical Triangulations A Matrix Model for 2D Quantum Gravity defined by Causal Dynamical Triangulations

2008-04-01

arxiv.org/abs/0804.0252v1

Phys.Lett.B665:252-256,2008

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, 1 figure

Scientific paper

10.1016/j.physletb.2008.06.026

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.

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