Work

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

Year: 2010

Type: article

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 β deformation of the model, a quantum spectral curve is introduced as det(xig s ∂φ(z)) = 0 at finite N and for β = 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.

Source: Progress of Theoretical Physics

DOI: 10.1143/ptp.123.957

Authors: H. Itoyama, K. Maruyoshi, T. Oota

Institutions: Osaka City University, Kyoto University, Yukawa Institute for Theoretical Physics

Language: English

Topic: Black Holes and Theoretical Physics

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: bronze

Funders: Yukawa Institute for Theoretical Physics, Kyoto University, Japan Society for the Promotion of Science

OpenAlex ID: W2048441897