中国物理B ›› 2007, Vol. 16 ›› Issue (4): 881-886.doi: 10.1088/1009-1963/16/4/001

• •    下一篇

Topological aspect of Chern--Simons p-branes

段一士, 赵力, 刘玉孝, 任继荣   

  1. Institute of Theoretical Physics, Lanzhou University,Lanzhou 730000, China
  • 收稿日期:2006-04-18 修回日期:2006-08-04 出版日期:2007-04-20 发布日期:2007-04-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No 10475034).

Topological aspect of Chern--Simons p-branes

Duan Yi-Shi(段一士), Zhao Li(赵力)†, Liu Yu-Xiao(刘玉孝), and Ren Ji-Rong(任继荣)   

  1. Institute of Theoretical Physics, Lanzhou University, Lanzhou 730000, China
  • Received:2006-04-18 Revised:2006-08-04 Online:2007-04-20 Published:2007-04-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No 10475034).

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摘要： 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.

关键词: topological tensor current, winding number, Chern--Simons p-branes, Nambu--Goto action

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.

Key words: topological tensor current, winding number, Chern--Simons p-branes, Nambu--Goto action

中图分类号:  (Gauge field theories)

  • 11.15.-q
11.25.-w (Strings and branes)