Anti-de Sitter gravity associated with the supergroup $SU(1,1\mathrm{\mid }2)\times SU(1,1\mathrm{\mid }2)$

We construct the anti-de Sitter supergravity in three dimensions associated with the supergroup $SU(1,1\mathrm{\mid }2)\times SU(1,1\mathrm{\mid }2)$. The field content and the action are inferred using the fact that $AdS$ supergravity theories in three dimensions are Chern-Simons theories.