Matrix Models, Quantum Penner Action and Two-Dimensional String Theory

Details Matrix Models, Quantum Penner Action and Two-Dimensional String Theory Matrix Models, Quantum Penner Action and Two-Dimensional String Theory

1995-11-17

arxiv.org/abs/hep-th/9511127v2

Physics

High Energy Physics

High Energy Physics - Theory

Latex file, 8 pages. Based on a talk given by the second author at the NATO ASI, Cargese, July 11-25 1995

Scientific paper

A very elementary model of a single positive hermitian random matrix coupled to an external matrix is defined and studied. Expanding the exact effective action around its classical solution leads to the ``quantum Penner action'', from which a rich structure of correlation functions is obtained. These are shown to be equal to the all-orders perturbative expansion of tachyon amplitudes in the two-dimensional string at self-dual radius.

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