Macroscopic loop amplitudes in the multi-cut two-matrix models

Details Macroscopic loop amplitudes in the multi-cut two-matrix models Macroscopic loop amplitudes in the multi-cut two-matrix models

2009-09-07

arxiv.org/abs/0909.1197v2

Nucl.Phys.B828:536-580,2010

Physics

High Energy Physics

High Energy Physics - Theory

46 pages, 3 figures; v2: 51 pages, 7 figures, notations changed, explanations in Section 2.4 extended, figures for topology of

Scientific paper

10.1016/j.nuclphysb.2009.10.017

Multi-cut critical points and their macroscopic loop amplitudes are studied in the multi-cut two-matrix models, based on an extension of the prescription developed by Daul, Kazakov and Kostov. After identifying possible critical points and potentials in the multi-cut matrix models, we calculate the macroscopic loop amplitudes in the Z_k symmetric background. With a natural large N ansatz for the matrix Lax operators, a sequence of new solutions for the amplitudes in the Z_k symmetric k-cut two-matrix models are obtained, which are realized by the Jacobi polynomials.

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