The Branch Processes of Chern-Simons (CS) p-Branes

Abstract

In this paper, by making use of Duan’s topological current theory, the branch process of Chern-Simons (CS) p-branes is discussed in detail. Chern-Simons (CS) p-branes are found generating or annihilating at the limit points and encountering, splitting, or merging at the bifurcation points and higher degenerated points systematically of the vector order parameter field \(\vec{\phi}(x)\) . Furthermore, it is also shown that CS p-branes are found splitting or merging at the degenerate point of field function \(\vec{\phi}\) but the total topological charges of the CS p-branes are still unchanged.