| Abstract: |
| We consider Chern-Simons gauge theory of rank two in the whole space.
There are three types of solutions for the system. We deal with nontopological solutions
among others. To understand the structure of the solutions space, It is helpful to understand
bubbling solutions. We present complete classification of bubbling solutions for the system and, in particular,
present existence theory for the $SU(3)$, $SO(5)$, and $G_2$ system. |
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