Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2009-11-22
Prog. Theor. Phys. 123 (2010), 957-987
Physics
High Energy Physics
High Energy Physics - Theory
37 pages; v2: version to appear in Prog. Theor. Phys. Title changed. Isomorphism of the SU(n) spectral curve and the SW curve
Scientific paper
10.1143/PTP.123.957
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.
Itoyama Hiroshi
Maruyoshi Kazunobu
Oota Takeshi
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