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KNOTS IN THE NON-ABELIAN CHERN–SIMONS THEORY

PENG-MING ZHANG

Department of Mathematics, Lanzhou University, Lanzhou, 730000, P. R. China

Corresponding author.

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YI-SHI DUAN

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

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, and

XIN LIU

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

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https://doi.org/10.1142/S0217732304015415Cited by:0 (Source: Crossref)

Abstract

We employ a spinor decomposition of SU(2) connection to study the Chern–Simons form. Our results show that the SU(2) Chern–Simons action yields the link invariants. Then the structure of the knots is discussed with the ϕ-mapping theory.

Keywords:

PACS: 02.10.Kn, 02.40.-k, 11.15.-q

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