The free energy of a D-dimensional matrix model on a curved background is the Einstein-Hilbert action with cosmological constant, where the constants are expectation values of graph invariants from ribbon graphs.
Einstein gravity from a matrix integral. Part II
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From Matrix Models to Gaussian Molecules and the Einstein-Hilbert Action
The free energy of a D-dimensional matrix model on a curved background is the Einstein-Hilbert action with cosmological constant, where the constants are expectation values of graph invariants from ribbon graphs.