# Vector and Spinor Decomposition of SU2 Gauge Potential, their quivalence and Knot Structure in SU2 Chern-Simons Theory

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In this paper, spinor and vector decomposition of SU2 gauge potential are presented and their equivalence is constructed using a simply proposal. We also obtain the action of Faddeev nonlinear O3 sigma model from the SU2 massive gauge field theory which is proposed according to the gauge invariant principle. At last, the knot structure in SU2 Chern-Simons filed theory is discussed in terms of the $\phi$-mapping topological current theory. The topological charge of the knot is characterized by the Hopf indices and the Brouwer degrees of $\phi$-mapping.

Autor: Yi-Shi Duan; Ji-Rong Ren; Ran Li

Fuente: https://archive.org/