The Quiver Matrix Model and 2d-4d Conformal Connection(Particles and Fields)

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概要

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• 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(x-ig_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.

• 2010-06-25

著者

• ITOYAMA Hiroshi

  Department of Mathematics and Physics, Graduate School of Science, Osaka City University

• MARUYOSHI Kazunobu

  Yukawa Institute for Theoretical Physics, Kyoto University

• OOTA Takeshi

  Osaka City University Advanced Mathematical Institute (OCAMI)

• Itoyama Hiroshi

  Department Of Mathematics And Physics Graduate School Of Scicence Osaka City University

• Maruyoshi Kazunobu

  Yukawa Institute For Theoretical Physics Kyoto University

• Oota Takeshi

  Osaka City Univ. Advanced Mathematical Inst. (ocami) Osaka Jpn

• Itoyama Hiroshi

  Department Of Mathematics And Physics Graduate School Of Science Osaka City University:osaka City Un

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