Models of Supersymmetry for Dark Matter

A brief review of supersymmetric models and their candidates for dark matter is carried out. The neutralino is a WIMP candidate in the MSSM where $R$-parity is conserved, but this model has the $\mu$ problem. There are natural solutions to this problem that necessarily introduce new structure beyond the MSSM, including new candidates for dark matter. In particular, in an extension of the NMSSM, the right-handed sneutrino can be used for this job. In $R$-parity violating models such as the $\mu \nu$SSM, the gravitino can be the dark matter, and could be detected by its decay products in gamma-ray experiments.