An Advanced Teleport (AT or ATP) is used to transport a players City directly go to a tile within the Kingdom view.  Normally, you are restricted to your current kingdom and any unprotected and Ancient kingdoms.

During Kingdom vs Kingdom events, you can also teleport to the other Kingdom, even if protected.  Once you enter the opposing kingdom, a warrant is issued that basically gives you about 4 hours before you're automatically random teleported back to your own kingdom.

Teleporting into the Kingdom of Fire, which holds the Super Wonder, requires the Legendary Teleport.