If you want users to log in to your Joomla site using their Twitter credentials, you can do it using our Joomla Twitter OAuth plugin. Once you configure Twitter with the Joomla OAuth plugin, you can allow Twitter users to SSO into your Joomla site using Twitter.
Similarly, you can map your Joomla roles based on your Twitter attributes/groups. To know more about other features we provide in the Joomla OAuth plugin, you can download by click here.