Existence of mixed type solutions in the Chern-Simons gauge theory of rank two in ${\mathbb{R}}^2$

Kwangseok Choe, Namkwon Kim, Youngae Lee +1

We consider the Chern-Simons gauge theory of rank $2$ such as $SU(3)$, $SO(5)$, and $G_2$ Chern-Simons model in ${\mathbb{R}}^2$. There may exist three types of solutions in these th…