  Through a self-dual mapping of the geometry AdS5 x S5, fermionic T-duality
provides a beautiful geometric interpretation of hidden symmetries for
scattering amplitudes in N=4 super-Yang-Mills. Starting with Green-Schwarz
sigma-models, we consolidate developments in this area into this small review.
In particular, we discuss the translation of fermionic T-duality into the
supergravity fields via pure spinor formalism and show that a general class of
fermionic transformations can be identified directly in the supergravity. In
addition to discussing fermionic T-duality for the geometry AdS4 x CP3, dual to
N=6 ABJM theory, we review work on other self-dual geometries. Finally, we
present a short round-up of studies with a formal interest in fermionic
T-duality.
