Titlebook: Applications of Random Matrices in Physics; Édouard Brézin,Vladimir Kazakov,Anton Zabrodin Conference proceedings 2006 Springer Science+Bu

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MATRIX MODELS OF MODULI SPACE,tion numbers on moduli space, and the Penner model that computes the virtual Euler characteristic of moduli space. Generalisations of the former model describe noncritical strings with . < 1 matter, while the latter can be generalised to describe amplitudes of . = 1 strings at selfdual radius.

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MATRIX MODELS AS CONFORMALFIELD THEORIES,al field theory. In the large . limit such CFT describe gaussian field on a Riemann surface. Our basic example is the hermitian matrix model. We give an explicit operator construction of the corresponding collective field theory in terms of a bosonic field on a hyperelliptic Riemann surface, with sp

fulcrum

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