Holomorphic matrix integrals
High Energy Physics - Theory
2009-11-10 v2
Abstract
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.
Cite
@article{arxiv.hep-th/0401191,
title = {Holomorphic matrix integrals},
author = {Giovanni Felder and Roman Riser},
journal= {arXiv preprint arXiv:hep-th/0401191},
year = {2009}
}
Comments
9 pages, 1 figure, reference added