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

Year: 1995
Type: preprint
Abstract: 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.
Language: English
Open Access status: green
OpenAlex ID: W4394669282
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