HOLOLAND · Charting the holographic quantum landscape, and consequences on charge transport at strong coupling

This proposal aims at elucidating the properties of charge transport at strong coupling, when no quasiparticle description is valid. We will employ techniques from gauge/gravity duality, which comes from String Theory and High Energy physics and maps a strongly-coupled field theory with a UV conformal fixed point to an asymptotically Anti-de Sitter gravitational spacetime described by Einstein’s equations. Possible applications can be found in strongly-coupled Condensed Matter systems.Scaling properties of transport at strong coupling likely originate from scaling regimes of the gravitational dual, so we will classify and chart the holographic quantum landscape following Effective Holographic Theories principles. This approach relies on specifying the symmetries and the relevant operators in the problem at hand. I expect to be able to identify such operators in phases breaking translation invariance homogeneously, build gravity models with tunable intermediate scaling regimes, characterize the phases studied with both local (transport coefficients, correlators…) and nonlocal (entanglement, fractionalisation) observables and explore connections with top-down models from String Theory.The main research training objectives are three-fold: complementing my set of current skills with gravitational perturbation and numerical techniques, as well as building a solid culture in modern Condensed Matter Theory. Important additional research and transferable skills are included in the training plan.At the outcome of the Fellowship, I will find myself at a privileged position at the interface between High Energy and Condensed Matter physics, able to draw research directions from both sides.I expect the proposal to be very beneficial to the ERA: it will encourage multidisciplinary exchanges, foster collaborations between France and the USA, and more generally further advances on a new and radical change of paradigm relevant for some long-standing Condensed Matter issues.