Abstract By generalizing the topological current of Abelian Chern--Simons (CS) vortices, we present a topological tensor current of CS p-branes based on the $\phi$-mapping topological current theory. It is revealed that CS p-branes are located at the isolated zeros of the vector field $\phi(x)$, and the topological structure of CS $p$-branes is characterized by the winding number of the $\phi$-mappings. Furthermore, the Nambu--Goto action and the equation of motion for multi CS p-branes are obtained.
Received: 18 April 2006
Revised: 04 August 2006
Accepted manuscript online:
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