Institute of Theoretical Physics, Lanzhou University, Lanzhou 730000, China
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.