Toward the construction of the general multi-cut solutions in Chern-Simons matrix models

1Citations
Citations of this article
9Readers
Mendeley users who have this article in their library.

This article is free to access.

Abstract

In our previous work [1], we pointed out that various multi-cut solutions exist in the Chern-Simons (CS) matrix models at large-N 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.

Cite

CITATION STYLE

APA

Morita, T., & Sugiyama, K. (2018). Toward the construction of the general multi-cut solutions in Chern-Simons matrix models. Journal of High Energy Physics, 2018(8). https://doi.org/10.1007/JHEP08(2018)168

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free