Topological Matrix Models, Liouville Matrix Model and c=1 String Theory

Details Topological Matrix Models, Liouville Matrix Model and c=1 String Theory Topological Matrix Models, Liouville Matrix Model and c=1 String Theory

2003-10-31

arxiv.org/abs/hep-th/0310287v5

Physics

High Energy Physics

High Energy Physics - Theory

latex, 35 pages, based on lectures delivered at the IPM Workshop on String Theory, Bandar-e-Anzali, Iran, in October 2003, v5:

Scientific paper

This is a review of some beautiful matrix models related to the moduli space of Riemann surfaces as well as to noncritical c=1 string theory at self-dual radius. These include the Penner model and the W-infinity model, which have different origins but are equivalent to each other. In the final section, which is new material, it is shown that these models are also equivalent to a Liouville matrix model. We speculate that this might be interpreted in terms of N D-instantons of the c=1 string.

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