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dc.contributor.authorFitzhardinge-Berkeley, Joel Alan
dc.identifier.citationFitzhardinge-Berkeley, JA. 2015. Solution-generating transformations in duality-invariant theories and the uid/gravity correspondence. Queen Mary University of Londonen_US
dc.description.abstractWe explore dualities and solution-generating transformations in various contexts. Our focus is on the T-duality invariant form of supergravity known as double fi eld 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 fi eld 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. We consider solution-generating techniques in DFT in the presence of an isometry, firstly via Buscher-like transformations in the DFT string -model, and secondly via the DFT equations of motion. In the SL(5)-invariant geometry, we provide a chain rule derivation of the covariant equations of motion, and present a wave solution embedding the M2 brane. Lastly, solution-generating transformations for metrics with an isometry are considered in the context of the fluid/gravity correspondence. Our focus is on the vacuum Rindler metric dual to a codimension one Navier- Stokes fluid. In particular, when there is a radially directed Killing vector, the dual fluid is found to exhibit an energy scaling invariance valid to all orders in the hydrodynamic expansion.en_US
dc.description.sponsorshipThis PhD thesis has been financially supported by an STFC grant.en_US
dc.publisherQueen Mary University of Londonen_US
dc.subjectString Theoryen_US
dc.titleSolution-generating transformations in duality-invariant theories and the fluid/gravity correspondenceen_US
dc.rights.holderThe 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

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