|dc.description.abstract||This thesis deals with the two duality symmetries of N = 2 D = 10 supergravity
theories that are descendant from the full superstring theory: fermionic
T-duality and U-duality.
The fermionic T-duality transformation is applied to the D-brane and ppwave
solutions of type IIB supergravity. New supersymmetric solutions of complexi
ed supergravity are generated. We show that the pp-wave yields a purely
imaginary background after two dualities, undergoes a geometric transformation
after four dualities, and is self-dual after eight dualities.
Next we apply six bosonic and six fermionic T-dualities to the AdS4 CP3
background of type IIA supergravity, which is relevant to the current research
in the amplitude physics. This helps to elucidate the potential obstacles in
establishing the self-duality, and quite independently from that shows us that
fermionic T-dualities may be degenerate under some circumstances.
Finally, we make a step towards constructing a manifestly U-duality covariant
action for D = 10 supergravities by deriving the generalized metric for a
D1-brane. This is a single structure that treats brane wrapping coordinates on
the same footing as spacetime coordinates. It turns out that the generalized
metric of a D-string results from that of the fundamental string if one replaces
the spacetime metric with the open string metric. We also nd an antisymmetric
contribution to the generalized metric that can be interpreted as a noncommutativity
|dc.publisher||Queen Mary University of London||
|dc.title||Fermionic T-duality and U-duality in type II supergravity||en_US
|dc.rights.holder||The copyright of this thesis rests with the author and no quotation from it or information derived from it may be published without the prior written consent of the author||