Holomorphic matrix integrals

Details Holomorphic matrix integrals Holomorphic matrix integrals

2004-01-26

arxiv.org/abs/hep-th/0401191v2

Nucl.Phys. B691 (2004) 251-258

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, 1 figure, reference added

Scientific paper

10.1016/j.nuclphysb.2004.05.010

We study a class of holomorphic matrix models. The integrals are taken over middle dimensional cycles in the space of complex square matrices. As the size of the matrices tends to infinity, the distribution of eigenvalues is given by a measure with support on a collection of arcs in the complex planes. We show that the arcs are level sets of the imaginary part of a hyperelliptic integral connecting branch points.

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