An(1) Affine Quiver Matrix Model

Details An(1) Affine Quiver Matrix Model An(1) Affine Quiver Matrix Model

2011-06-08

arxiv.org/abs/1106.1539v1

Nucl.Phys.B852:336-351,2011

Physics

High Energy Physics

High Energy Physics - Theory

20 pages

Scientific paper

10.1016/j.nuclphysb.2011.07.001

We introduce An(1) (n=1,2,...) affine quiver matrix model by simply adopting the extended Cartan matrices as incidence matrices and study its finite N Schwinger-Dyson equations as well as their planar limit. In the case of n=1, we extend our analysis to derive the cubic planar loop equation for one-parameter family of models labelled by alpha: alpha=1 and alpha=2 correspond to the non-affine A2 case and the affine A1(1) case respectively. In the case of n=2, we derive three sets of constraint equations for the resolvents which are quadratic, cubic and quartic respectively.

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