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arXiv · 1704.08675

Multi-cut Solutions in Chern-Simons Matrix Models

Takeshi Morita·Kento Sugiyama
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Abstract

We elaborate the Chern-Simons (CS) matrix models at large $N$. The saddle point equations of these matrix models have a curious structure which cannot be seen in the ordinary one matrix models. Thanks to this structure, an infinite number of multi-cut solutions exist in the CS matrix models. Particularly we exactly derive the two-cut solutions at finite 't\,Hooft coupling in the pure CS matrix model. In the ABJM matrix model, we argue that some of multi-cut solutions might be interpreted as a condensation of the D2-brane instantons.

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Takeshi Morita, Kento Sugiyama. 2018-06-07. Multi-cut Solutions in Chern-Simons Matrix Models. https://doi.org/10.1016/j.nuclphysb.2018.01.028

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