摘要
We introduce A(n)((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 A(2) case and the affine A(1)((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.
- 出版日期2011-11-1