MISC

2009年11月22日

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

Prog.Theor.Phys.123:957-987,2010
  • Hiroshi Itoyama
  • ,
  • Kazunobu Maruyoshi
  • ,
  • Takeshi Oota

記述言語
掲載種別
機関テクニカルレポート,技術報告書,プレプリント等
DOI
10.1143/PTP.123.957

We review the quiver matrix model (the ITEP model) in the light of the recent<br />
progress on 2d-4d connection of conformal field theories, in particular, on the<br />
relation between Toda field theories and a class of quiver superconformal gauge<br />
theories. On the basis of the CFT representation of the beta deformation of the<br />
model, a quantum spectral curve is introduced as &lt;&lt; det (x- i g_s \partial<br />
\phi(z)) &gt;&gt;=0 at finite N and for beta \neq 1. The planar loop equation in the<br />
large N limit follows with the aid of W_n constraints. Residue analysis is<br />
provided both for the curve of the matrix model with the &quot;multi-log&quot; potential<br />
and for the Seiberg-Witten curve in the case of SU(n) with 2n flavors, leading<br />
to the matching of the mass parameters. The isomorphism of the two curves is<br />
made manifest.

リンク情報
DOI
https://doi.org/10.1143/PTP.123.957
arXiv
http://arxiv.org/abs/arXiv:0911.4244
URL
http://arxiv.org/abs/0911.4244v2

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