The asymmetric ABAB matrix model

Paul Zinn-Justin (1)

1 LPTHE - Laboratoire de Physique Théorique et Hautes Energies

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.

Domaines: Physique des Hautes Energies - Théorie [hep-th]

Paul Zinn-Justin. The asymmetric ABAB matrix model. EPL - Europhysics Letters, 2003, 64, pp.737-742. ⟨hal-00002294⟩