Macroscopic loop amplitudes in the multi-cut two-matrix models
Abstract
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.
Cite
@article{arxiv.0909.1197,
title = {Macroscopic loop amplitudes in the multi-cut two-matrix models},
author = {Chuan-Tsung Chan and Hirotaka Irie and Sheng-Yu Darren Shih and Chi-Hsien Yeh},
journal= {arXiv preprint arXiv:0909.1197},
year = {2010}
}
Comments
46 pages, 3 figures; v2: 51 pages, 7 figures, notations changed, explanations in Section 2.4 extended, figures for topology of the curves added, Appendix E added, final version to appear in Nucl. Phys. B