The Quiver Matrix Model and 2d-4d Conformal Connection
Abstract
We review the quiver matrix model (the ITEP model) in the light of the recent progress on 2d-4d connection of conformal field theories, in particular, on the relation between Toda field theories and a class of quiver superconformal gauge theories. On the basis of the CFT representation of the beta deformation of the model, a quantum spectral curve is introduced as << det (x- i g_s \partial \phi(z)) >>=0 at finite N and for beta \neq 1. The planar loop equation in the large N limit follows with the aid of W_n constraints. Residue analysis is provided both for the curve of the matrix model with the "multi-log" potential and for the Seiberg-Witten curve in the case of SU(n) with 2n flavors, leading to the matching of the mass parameters. The isomorphism of the two curves is made manifest.
Cite
@article{arxiv.0911.4244,
title = {The Quiver Matrix Model and 2d-4d Conformal Connection},
author = {Hiroshi Itoyama and Kazunobu Maruyoshi and Takeshi Oota},
journal= {arXiv preprint arXiv:0911.4244},
year = {2014}
}
Comments
37 pages; v2: version to appear in Prog. Theor. Phys. Title changed. Isomorphism of the SU(n) spectral curve and the SW curve of Witten-Gaiotto form as well as the matching of the mass parameters more fully given