1999/04/18 by Yishi Duan, Libin Fu, Guang Jia +1 · 1 citation
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Current (fluid) #Field (mathematics) #Noncommutative and Quantum Gravity Theories #Tensor (intrinsic definition) #Tensor field #Topological entropy in physics #Topological quantum number #Topology (electrical circuits) #Winding number #Zero (linguistics) #hep-th
paper · pdf · doi:10.1063/1.533347
published as J.Math.Phys.41:4379-4386,2000 · 12 pages, ReTeX
arxiv created 1999/04/18 · openalex publication_date 2000/07/01 · arxiv updated 2014/11/17 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We present a new topological tensor current of p̃-branes by making use of the φ-mapping theory. It is shown that the current is identically conserved and behaves as δ(φ⃗), and every isolated zero of the vector field φ⃗(x) corresponds to a “magnetic” p̃-brane. Using this topological current, the generalized Nambu action for multi p̃-branes is given, and the field strength F corresponding to this topological tensor current is obtained. It is also shown that the magnetic charges carried by p̃-branes are topologically quantized and labeled by Hopf index and Brouwer degree, the winding number of the φ mapping.