Higher-dimensional knotlike topological defects in local non-Abelian topological tensor currents

摘要: We present the novel topological tensor currents to describe infinitesimal thin higher-dimensional defects in local SO(n) gauge theory. The quantization of and inner structure are obtained. As generalization Nielsen-Olesen U(1) field theory for Nambu string, gauge-invariant Lagrangian motion equation derived. Moreover, closed defects, we study their important configuration, i.e., knotlike structures. Using preimages, construct a series metric independent integrals prove independence. Similar helicity integral characterizing one-dimensional vortex filament, these invariants evaluated generalized linking numbers defects.