Polymer, solid-state electrolyte, gel electrolyte, and battery

Disclosed are a polymer, a solid-state electrolyte including the polymer, a gel electrolyte, and a battery. The polymer includes a repeating unit A. The repeating unit A has a structure represented by Formula 1. In Formula 1, R 1 is selected from H or C 1-6 alkyl; R 2 is a linking group; R 3 is an end-capping group; M is selected from a borate chain segment, an aluminate chain segment, or a phosphate chain segment; and * denotes a linking end. The solid-state electrolyte including the polymer in the present disclosure or the battery including the gel electrolyte has a lower internal resistance, better transmission performance of ions, better cycle performance, a broader electrochemical window, and higher electrochemical stability.