A barren planet near the galactic edge where Kirk tries to maroon Gary Mitchell; a planet of the same name is Kirk's exile in the Kelvin timeline.
Delta Vega is a bleak, uninhabited planet orbiting close to the edge of the galaxy. In Where No Man Has Gone Before it is home to an automated lithium cracking station, and Kirk sets course for it after Gary Mitchell begins developing godlike powers following the Enterprise's passage through the galactic barrier. The plan is to use the station's equipment to repair the damaged ship and to strand Mitchell there before his abilities grow beyond control.
The plan fails when Mitchell escapes, killing Lee Kelso and drawing Elizabeth Dehner into his powers. Kirk pursues him across the desolate landscape and is forced to kill his friend in a desperate fight beside a rock grave that Mitchell has conjured.
In the 2009 film Star Trek, a world called Delta Vega lies within sight of Vulcan. The younger Kirk is marooned there by Spock, meets the elder Spock from the prime timeline in an ice cave, and finds Montgomery Scott stationed at a remote Starfleet outpost.