On the Connection Between 2d Topological Gravity and the Reduced Hermitian Matrix Model

Details On the Connection Between 2d Topological Gravity and the Reduced Hermitian Matrix Model On the Connection Between 2d Topological Gravity and the Reduced Hermitian Matrix Model

1997-02-26

arxiv.org/abs/hep-th/9702188v1

Nucl.Phys. B504 (1997) 482-510

Physics

High Energy Physics

High Energy Physics - Theory

29 pages, LaTeX

Scientific paper

10.1016/S0550-3213(97)00491-4

We discuss how concepts such as geodesic length and the volume of space-time can appear in 2d topological gravity. We then construct a detailed mapping between the reduced Hermitian matrix model and 2d topological gravity at genus zero. This leads to a complete solution of the counting problem for planar graphs with vertices of even coordination number. The connection between multi-critical matrix models and multi-critical topological gravity at genus zero is studied in some detail.

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