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arXiv · 1207.4480

Matrix models for irregular conformal blocks and Argyres-Douglas theories

Takahiro Nishinaka·Chaiho Rim
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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.

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Takahiro Nishinaka, Chaiho Rim. 2012-09-16. Matrix models for irregular conformal blocks and Argyres-Douglas theories. https://doi.org/10.1007/jhep10(2012)138

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