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

摘要: 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, $SL(5)$-invariant M-theory extended geometry, metrics dual under fluid/gravity correspondence to an incompressible Navier-Stokes fluid. In theory (DFT), a wave solution shown embed both F1 string pp-wave. For former, Goldstone mode dynamics reproduce duality symmetric introduced by Tseytlin. consider techniques DFT presence isometry, firstly via Buscher-like $\sigma$-model, secondly equations motion. we provide chain rule derivation covariant motion, present embedding M2 brane. Lastly, for with isometry are considered context correspondence. vacuum Rindler metric codimension one particular, when there radially directed Killing vector, fluid found exhibit energy scaling invariance valid all orders hydrodynamic expansion.