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Abstract: We discuss the Penner-type matrix model which has been proposed to explainthe AGT relation between the 2-dimensional Liouville theory and 4-dimensionalN=2 superconformal gauge theories. In our previous communication we haveobtained the spectral curve of the matrix model and showed that it agrees withthat derived from M-theory. We have also discussed the decoupling limit ofmassive flavors and proposed new matrix models which describe Seiberg-Wittentheory with flavors N f=2,3. In this article we explicitly evaluate the freeenergy of these matrix models and show that they in fact reproduce theamplitudes of Seiberg-Witten theory.



Author: Tohru Eguchi, Kazunobu Maruyoshi

Source: https://arxiv.org/







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