It uses SMTP/IMAP to propagate and store individual messages. This means that DeltaChat it will work with your usual email account (it will create an IMAP folder named DeltaChat), but if you install the app and say “Yeah, just let me in!”, it will create a random username for you on one of its own chatmail servers.
It may sound like a bad thing to use email, but it works very, very well. Most people won't even notice.
See e.g.: