The asymmetric ABAB matrix model

Abstract

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.

arXiv comment7 pages, 1 figure

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• The phase diagram of the multi-matrix model with ABAB-interaction from functional renormalization
• The F model on dynamical quadrangulations
• Quantum Gravity from Simplices: Analytical Investigations of Causal Dynamical Triangulations
• On gonihedric loops and quantum gravity