Recently, Berkovits and Maldacena have generalised T-duality to fermionic T-duality. This new duality shifts the Ramond-Ramond fields by complex Killing spinors, while leaving the metric and NSNS 2-form invariant. Given the success of T-duality, it is expected that fermionic T-duality will also be of importance in string theory. One the key applications of T-duality is as a solution-generating mechanism in supergravity, but in fermionic T-duality, because of the complexity of the Killing spinors, this application is limited to supergravity backgrounds with time-like Killing vectors. In this talk we will give a review of T-duality and fermionic T-duality and explain how in supergravity fermionic T-duality can be extended into a symmetry that includes real transformations.

Cambridge