Abstract
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 α: α = 1 and α = 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.
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