We study matrix models in the β-ensemble by building on the refined recursion relation proposed by Chekhov and Eynard. We present explicit results for the first β-deformed corrections in the one-cut and the two-cut cases, as well as two applications to supersymmetric gauge theories: the calculation of superpotentials in
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May 31 2011
The uses of the refined matrix model recursion
Andrea Brini;
Andrea Brini
a)
Département de Physique Théorique et Section de Mathématiques,
Université de Genève
, Genève CH-1211, Switzerland
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Marcos Mariño;
Marcos Mariño
Département de Physique Théorique et Section de Mathématiques,
Université de Genève
, Genève CH-1211, Switzerland
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Sébastien Stevan
Sébastien Stevan
Département de Physique Théorique et Section de Mathématiques,
Université de Genève
, Genève CH-1211, Switzerland
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a)
Author to whom correspondence should be addressed. Electronic mail: Andrea.Brini@unige.ch.
J. Math. Phys. 52, 052305 (2011)
Article history
Received:
November 11 2010
Accepted:
April 14 2011
Citation
Andrea Brini, Marcos Mariño, Sébastien Stevan; The uses of the refined matrix model recursion. J. Math. Phys. 1 May 2011; 52 (5): 052305. https://doi.org/10.1063/1.3587063
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