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

Xin Liu

doi:10.1088/1751-8113/43/25/255202

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

Mathematical Physics 2014-11-21 v1 math.MP

Authors: Xin Liu

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Abstract

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

Keywords

Chern-Simons field theory Lie super gauge group knots polynomial invariant skein relations

Cite

@article{arxiv.1006.0796,
  title  = {Knots in $SU\left(M|N\right) $ Chern-Simons Field Theory},
  author = {Xin Liu},
  journal= {arXiv preprint arXiv:1006.0796},
  year   = {2014}
}

Comments

15 pages, 5 figures

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