Solution-generating transformations in duality-invariant theories and the fluid/gravity correspondence

Understand

We explore dualities and solution-generating transformations in various contexts.

• Our focus is on the T-duality invariant form of supergravity known as double field theory, the $SL(5)$-invariant M-theory extended geometry, and metrics dual under the fluid/gravity correspondence to an incompressible Navier-Stokes fluid.
• In double field theory (DFT), a wave solution is shown to embed both the F1 string and the pp-wave.
• For the former, the Goldstone mode dynamics reproduce the duality symmetric string introduced by Tseytlin.