Matrix models for irregular conformal blocks and Argyres-Douglas theories
High Energy Physics - Theory
2015-06-05 v3
Abstract
As regular conformal blocks describe the N=2 superconformal gauge theories in four dimensions, irregular conformal blocks are expected to reproduce the instanton partition functions of the Argyres-Douglas theories. In this paper, we construct matrix models which reproduce the irregular conformal conformal blocks of the Liouville theory on sphere, by taking a colliding limit of the Penner-type matrix models. The resulting matrix models have not only logarithmic terms but also rational terms in the potential. We also discuss their relation to the Argyres-Douglas type theories.
Keywords
Cite
@article{arxiv.1207.4480,
title = {Matrix models for irregular conformal blocks and Argyres-Douglas theories},
author = {Takahiro Nishinaka and Chaiho Rim},
journal= {arXiv preprint arXiv:1207.4480},
year = {2015}
}
Comments
42 pages, 2 figures; v2: minor corrections; v3: minor corrections, added the second paragraph in section 6