In this letter, it is pointed out that the two matrix model defined by the
action S=(1/2)(tr A^2+tr B^2)-(alpha_A/4) tr A^4-(alpha_B/4) tr B^4-(beta/2)
tr(AB)^2 can be solved in the large N limit using a generalization of the
solution of Kazakov and Zinn-Justin (who considered the symmetric case
alpha_A=alpha_B). This model could have useful applications to 3D Lorentzian
gravity.Comment: 7 pages, 1 figur