Two-Matrix model with ABAB interaction

Details Two-Matrix model with ABAB interaction Two-Matrix model with ABAB interaction

1998-08-07

arxiv.org/abs/hep-th/9808043v2

Nucl.Phys. B546 (1999) 647-668

Physics

High Energy Physics

High Energy Physics - Theory

harvmac, 24 pages, 5 figures (1 color figure)

Scientific paper

10.1016/S0550-3213(99)00015-2

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.

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