The Quiver Matrix Model and 2d-4d Conformal Connection
Nov, 2009
34 pages
Published in:
- Prog.Theor.Phys. 123 (2010) 957-987
e-Print:
- 0911.4244 [hep-th]
DOI:
Report number:
- OCU-PHYS-324,
- YITP-09-75
View in:
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Abstract: (arXiv)
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.Note:
- 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
- matrix model: quiver
- field theory: conformal
- gauge field theory: conformal
- field theory: Toda
- flavor
- SU(3)
- supersymmetry: 2
- partition function
- correlation function
- constraint: Virasoro
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