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Knots in $SU\left(M|N\right) $ Chern-Simons Field Theory

arXiv:1006.0796 · doi:10.1088/1751-8113/43/25/255202

Abstract

Knots in the Chern-Simons field theory with Lie super gauge group $SU\left(M|N\right) $ are studied, and the $% S_{L}\left(α,β,z\right) $ polynomial invariant with skein relations are obtained under the fundamental representation of $\mathfrak{su}\left(M|N\right) $.

15 pages, 5 figures