The Quiver Matrix Model and 2d-4d Conformal Connection

2009/11/30 by Hiroshi Itoyama, Kazunobu Maruyoshi, Takeshi Oota · 1 citation
Physics and Astronomy · #hep-th

paper · pdf · doi:10.1143/ptp.123.957

published as Prog.Theor.Phys.123:957-987,2010 · 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

arxiv created 2010/06/28 · arxiv updated 2014/11/20

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 ∂ ϕ(z)) >>=0 at finite N and for beta ≠ 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.

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