Obiettivo While the three sub-atomic forces are described by quantum mechanics, the fourth known force, gravity, is described by Einstein's theory of general relativity. These two very successful theories are incompatible, and understanding how to unify them in a single framework is an outstanding problem. String theory is the most prominent candidate for a unified theory of all forces of Nature. The most important conceptual breakthrough that emerged from string theory is Maldacena's conjectured duality between quantum field theory and gravity, known as AdS/CFT correspondence. This states that strings moving in anti-de Sitter (AdS) space-time, may equivalently be described by a type of quantum theory, called conformal field theory (CFT). More generally, it is a remarkable duality between quantum gauge theories in d dimensions and gravitational theories in (d+1)-dimensional space-times, implying that quantum theory and gravity, instead of being conflicting, are in fact equivalent. In this project I will aim at extending the gauge/gravity duality in multiple directions, which go beyond the current state of the art. In order to achieve a deeper understanding of the gauge/gravity duality I plan to develop novel mathematical approaches, that are likely to lead to new research directions in different areas of physics and mathematics. More specifically, the objectives of this project include: a systematic study of AdS backgrounds arising in string theory as a method for exploring CFTs; the development of geometric structures, such as generalised Sasaki-Einstein geometry, relevant for the AdS/CFT correspondence; a study of supersymmetric gauge theories on curved manifolds and of their gravity duals; a study of dualities between pairs of gauge theories and of related matrix models arising from localisation techniques; exploring the gauge/gravity duality as a tool for studying strongly interacting quantum critical phenomena, such as those that are of interest to real-world physics. Campo scientifico natural sciencesphysical sciencesrelativistic mechanicsnatural sciencesphysical sciencesquantum physicsquantum field theorynatural sciencesphysical sciencestheoretical physicsstring theorynatural sciencesmathematicspure mathematicsgeometrynatural sciencesmathematicsapplied mathematicsmathematical physicsconformal field theory Programma(i) FP7-IDEAS-ERC - Specific programme: "Ideas" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013) Argomento(i) ERC-SG-PE2 - ERC Starting Grant - Fundamental constituents of matter Invito a presentare proposte ERC-2012-StG_20111012 Vedi altri progetti per questo bando Meccanismo di finanziamento ERC-SG - ERC Starting Grant Istituzione ospitante KING'S COLLEGE LONDON Contributo UE € 1 253 098,00 Indirizzo STRAND WC2R 2LS London Regno Unito Mostra sulla mappa Regione London Inner London — West Westminster Tipo di attività Higher or Secondary Education Establishments Contatto amministrativo Paul Labbett (Mr.) Ricercatore principale Dario Martelli (Dr.) Collegamenti Contatta l’organizzazione Opens in new window Sito web Opens in new window Costo totale Nessun dato Beneficiari (1) Classifica in ordine alfabetico Classifica per Contributo UE Espandi tutto Riduci tutto KING'S COLLEGE LONDON Regno Unito Contributo UE € 1 253 098,00 Indirizzo STRAND WC2R 2LS London Mostra sulla mappa Regione London Inner London — West Westminster Tipo di attività Higher or Secondary Education Establishments Contatto amministrativo Paul Labbett (Mr.) Ricercatore principale Dario Martelli (Dr.) Collegamenti Contatta l’organizzazione Opens in new window Sito web Opens in new window Costo totale Nessun dato
