In the Artifact Repository Browser, you can deploy artifacts into a local repository from the Artifacts module by clicking Deploy to display the Deploy dialog. Artifacts can be deployed individually or in multiples.
Using Import to "deploy" a whole repository
If you want to "deploy" a whole repository, you should actually import it using the Import Repository feature in the Administration module under Artifactory | Import & Export | Repositories.
You can also deploy artifacts to any repository using the Artifactory REST API, see this example for a quick start.