Toward the construction of the general multi-cut solutions in Chern-Simons Matrix Models
Abstract
In our previous work arXiv:1704.08675, we pointed out that various multi-cut solutions exist in the Chern-Simons (CS) matrix models at large- due to a curious structure of the saddle point equations. In the ABJM matrix model, these multi-cut solutions might be regarded as the condensations of the D2-brane instantons. However many of these multi-cut solutions including the ones corresponding to the condensations of the D2-brane instantons were obtained numerically only. In the current work, we propose an ansatz for the multi-cut solutions which may allow us to derive the analytic expressions for all these solutions. As a demonstration, we derive several novel analytic solutions in the pure CS matrix model and the ABJM matrix model. We also develop the argument for the connection to the instantons.
Keywords
Cite
@article{arxiv.1805.00831,
title = {Toward the construction of the general multi-cut solutions in Chern-Simons Matrix Models},
author = {Takeshi Morita and Kento Sugiyama},
journal= {arXiv preprint arXiv:1805.00831},
year = {2018}
}
Comments
43 pages, 16 figures, v2: published version, minor changes