It is known that the transformations of fermionic T-duality, derived from the
worldsheet theory, generically transform real supergravity backgrounds to
complex supergravity backgrounds. We consider the low-energy target space
theory and show that the type II supergravity equations admit a symmetry that
transforms the Ramond-Ramond fields and the dilaton. The transformations given
by this symmetry involve Killing spinors and include the transformations of
Berkovits and Maldacena. However, we show that they also allow real
transformations.Comment: 30 pages; added comments and references. Corrected typo
