\documentclass{article}    
\usepackage{amsmath}
\usepackage{tikz-cd}
\usepackage{xepersian}
\begin{document}
\begin{tikzcd}
	g_{1}= x^{\alpha_{e_{1}}}_{e_{1}}, x^{\alpha_{e_{2}}}_{e_{2}},..., x^{\alpha_{e_{t^{\prime}}}}_{e_{t^{\prime}}} \arrow[dr,leftrightarrow] & 
	...x_{e_{t''}}^{\alpha_{e_{t''}}} ... x^{\alpha_{e_{r}}}_{e_{r}} \arrow[dl, leftrightarrow] \\
	g_{2} = x^{\beta_{e_{1}}}_{e_{1}}  x^{\beta_{e_{2}}}_{e_{2}} , ... , x^{\beta_{e_{t^{\prime}}}}_{e_{t^{\prime}}} & ...x_{e_{t''}}^{\beta_{e_{t''}}}  ... x^{\beta_{e_{r}}}_{e_{r}}
\end{tikzcd} 

\end{document}