\documentclass[tikz,border=10pt]{standalone}
\usetikzlibrary{braids}

\begin{tikzpicture}[scale=0.4, every node/.style={scale=0.4}]
\pic[
  rotate=90,
  line width=1.5pt,
  braid/control factor=0,
  braid/nudge factor=0,
  braid/gap=0.11,
  braid/number of strands = 6,
  name prefix=braid,
] at (-0.25,0) {braid={
11111111111
}};
\draw[dashed,draw=black, very thick, fill=white] (1-0.5,0-0.25) rectangle ++(10,5.5);
\draw[draw=red,ultra thick] (0-0.25,3) -- ++(0.25,0) -- ++(1,0) -- ++(2,-2) -- ++(1,1) -- ++(1,0) -- ++(1,1) -- ++(2,-2) -- ++(1,1) -- ++(1,-1) -- ++(1.25,0);
\node at (-0.75,0) {\LARGE $1$};
\node at (-0.75,3) {\LARGE \color{red} $k$};
\node at (-0.75,5) {\LARGE $n$};
\node at (12-0.1,0) {\LARGE $1$};
\node at (12.1,1) {\LARGE \color{red} $\pi_\beta(k)$};
\node at (12-0.1,5) {\LARGE $n$};
\end{tikzpicture}