%0 Journal Article
%T Two-Matrix model with ABAB interaction
%A V. A. Kazakov
%A P. Zinn-Justin
%J Physics
%D 1998
%I arXiv
%R 10.1016/S0550-3213(99)00015-2
%X Using recently developed methods of character expansions we solve exactly in the large N limit a new two-matrix model of hermitean matrices A and B with the action S={1\over 2}(\tr A^2+\tr B^2)-{\alpha\over 4}(\tr A^4+\tr B^4) -{\beta\over 2} \tr(AB)^2. This model can be mapped onto a special case of the 8-vertex model on dynamical planar graphs. The solution is parametrized in terms of elliptic functions. A phase transition is found: the critical point is a conformal field theory with central charge c=1 coupled to 2D quantum gravity.
%U http://arxiv.org/abs/hep-th/9808043v2