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A novel continuum theory of two-dimensional quantum gravity, based on aversion of Causal Dynamical Triangulations which incorporates topology change,has recently been formulated as a genuine string field theory inzero-dimensional target space (arXiv:0802.0719). Here we show that theDyson-Schwinger equations of this string field theory are reproduced by a cubicmatrix model. This matrix model also appears in the so-called Dijkgraaf-Vafacorrespondence if the superpotential there is required to be renormalizable. Inthe spirit of this model, as well as the original large-N expansion by 'tHooft, we need no special double-scaling limit involving a fine tuning ofcoupling constants to obtain the continuum quantum-gravitational theory. Ourresult also implies a matrix model representation of the original, strictlycausal quantum gravity model.

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