Fermionic T-duality and U-duality in type II supergravity

Understand

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 pp-wave solutions of type IIB supergravity.
• New supersymmetric solutions of complexified 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.