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

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arxiv hep-th/0310287 v5 pith:XNBJXGIL submitted 2003-10-31 hep-th

classification hep-th
keywords matrixmodelmodelsstringequivalentliouvilletheorybeautiful
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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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  1. Strings from Feynman Diagrams

    hep-th 2024-12 conditional novelty 6.0 of 10

    Every Feynman diagram in a two-matrix model is mapped to a unique closed string worldsheet and Belyi embedding, with the diagram's weight equal to the string action.

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