The info you seek is available from MS here: User Name Formats.
There are actually only two types of user names, "User Principal Name" and "Down-Level Logon Name"
User Principal Name:
User principal name (UPN) format is used to specify an Internet-style name, such as [email protected].
Down-Level Logon Name:
The down-level logon name format is used to specify a domain and a user account in that domain, for example, DOMAIN\UserName.
The one where you don't enter a domain name is just using one of these, but it's appending the default domain (or the computer) name for you.