A topological index is a numerical representation of a chemical structure, while a topological descriptor correlates certain physico-chemical characteristics of underlying chemical compounds besides its numerical representation. A large number of properties like physico-chemical properties, thermodynamic properties, chemical activity, and biological activity are determined by the chemical applications of graph theory. The biological activity of chemical compounds can be constructed by the help of topological indices such as atom-bond connectivity (ABC), Randic, and geometric arithmetic (GA). In this paper, Randic, atom bond connectivity (ABC), Zagreb, geometric arithmetic (GA), ABC(4), and GA(5) indices of the mth chain silicate SL (m, n) network are determined.