Obiettivo The project has two fundamental aims: A) Open new research horizons exploiting the interplay between Operator Algebras and Conformal Quantum Field Theory. B) Use Operator Algebraic methods for a deeper understanding of the internal structure of Conformal Quantum Field Theory, with a possible feedback for Operator Algebras. A) concerns two points in particular: - Find Noncommutative Geometrical structures associated with certain representations of Conformal Nets of von Neumann algebras and provide index theorems for quantum systems with infinitely many degrees of freedom in this framework. - Set up relations between Vertex Algebras and Local Conformal Nets and so provide new methods and results in each of these two subjects by importing and developing methods of the other subject. B) concerns in particular the analysis of following points, some motivated by A): - Structure and classification of conformal nets of von Neumann algebras on the circle and on two-dimensional spacetimes, and of their representations; in particular conformal supersymmetric models. - KMS and super-KMS functional structure in conformal models. - Boundary Conformal Field Theory, in particular regarding new thermalization effects. - Conformal subnet structure, in particular restrictions on the possible index values for conformal subnets. - Nuclearity and trace class properties for representations and modularity properties. Campo scientifico natural sciencesphysical sciencesquantum physicsquantum field theorynatural sciencesmathematicspure mathematicsalgebranatural sciencesmathematicspure mathematicsmathematical analysisfunctional analysisoperator algebranatural sciencesmathematicsapplied mathematicsmathematical physicsconformal field theory Parole chiave Field Quantum Quantum Field Theory 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-AG-PE1 - ERC Advanced Grant - Mathematical foundations Invito a presentare proposte ERC-2008-AdG Vedi altri progetti per questo bando Meccanismo di finanziamento ERC-AG - ERC Advanced Grant Istituzione ospitante UNIVERSITA DEGLI STUDI DI ROMA TOR VERGATA Contributo UE € 1 044 750,00 Indirizzo VIA CRACOVIA 50 00133 Roma Italia Mostra sulla mappa Regione Centro (IT) Lazio Roma Tipo di attività Higher or Secondary Education Establishments Contatto amministrativo Giuseppe Novelli (Prof.) Ricercatore principale Roberto Longo (Prof.) 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 UNIVERSITA DEGLI STUDI DI ROMA TOR VERGATA Italia Contributo UE € 1 044 750,00 Indirizzo VIA CRACOVIA 50 00133 Roma Mostra sulla mappa Regione Centro (IT) Lazio Roma Tipo di attività Higher or Secondary Education Establishments Contatto amministrativo Giuseppe Novelli (Prof.) Ricercatore principale Roberto Longo (Prof.) Collegamenti Contatta l’organizzazione Opens in new window Sito web Opens in new window Costo totale Nessun dato
