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

Abstract

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

15 pages, 5 figures

References in corpus (5)

• Gauge Symmetry and Supersymmetry of Multiple M2-Branes
• Chiral Gravity in Three Dimensions
• Magnetic Monopole Dynamics, Supersymmetry, and Duality
• The Killing superalgebra of ten-dimensional supergravity backgrounds
• Free field realization of current superalgebra $gl(m|n{)}_k$