Objetivo This project aims to an innovative deep interplay between Operator Algebras and Quantum Field Theory. On one hand we want both to develop powerful tools to construct Quantum Field Theory models and provide a mathematical-conceptual description of interesting Physical contexts, on the other hand we want to set up and study the emerging mathematical structures, that have their own interest. Our first objective aims to an intrinsic description of phase boundaries (defects) in two dimensions, developing mathematical methods needed to this end. The operator-algebraic description of Boundary Conformal Field Theory by the K.-H. Rehren and the PI is the basis to set up the operator-algebraic, Minkowskian description of phase boundary, relating to the tensor categorical, Euclidean description by J. Fröhlich, J. Fuchs, I. Runkel and C. Schweigert. The theory of Subfactors by V. Jones and the PI's notion of Q-system are to be extended to unstudied settings and new basic operations are to be introduced and analyzed. Existing partial classification results will be broadened to more general, physically interesting situations.A second objective aims to a non-perturbative construction of QFT models that relies on recent ideas, based on algebraic deformation, by E. Witten and the PI (in a massless context) and by G. Lechner (in a massive context), and further developed by other researchers. We aim at a unifying framework and new constructive methods.A third objective plans to construct, and analyze, new classes of models of local Conformal Nets of von Neumann Algebras by means of Vertex Operator Algebras; among them the “Shorter Moonshine Net”.A further objective points to understand known effects in Information Theory within the Noncommutative Geometrical viewpoint provided by a QFT index theorem proposed by the PI. Ámbito científico natural sciencesphysical sciencestheoretical physicsparticle physicsnatural sciencesphysical sciencesquantum physicsquantum field theorynatural sciencesmathematicspure mathematicsalgebranatural sciencesmathematicspure mathematicsmathematical analysisfunctional analysisoperator algebranatural sciencesmathematicsapplied mathematicsmathematical physicsconformal field theory Programa(s) H2020-EU.1.1. - EXCELLENT SCIENCE - European Research Council (ERC) Main Programme Tema(s) ERC-ADG-2014 - ERC Advanced Grant Convocatoria de propuestas ERC-2014-ADG Consulte otros proyectos de esta convocatoria Régimen de financiación ERC-ADG - Advanced Grant Institución de acogida UNIVERSITA DEGLI STUDI DI ROMA TOR VERGATA Aportación neta de la UEn € 1 587 500,00 Dirección VIA CRACOVIA 50 00133 Roma Italia Ver en el mapa Región Centro (IT) Lazio Roma Tipo de actividad Higher or Secondary Education Establishments Enlaces Contactar con la organización Opens in new window Sitio web Opens in new window Participación en los programas de I+D de la UE Opens in new window Red de colaboración de HORIZON Opens in new window Coste total € 1 587 500,00 Beneficiarios (1) Ordenar alfabéticamente Ordenar por aportación neta de la UE Ampliar todo Contraer todo UNIVERSITA DEGLI STUDI DI ROMA TOR VERGATA Italia Aportación neta de la UEn € 1 587 500,00 Dirección VIA CRACOVIA 50 00133 Roma Ver en el mapa Región Centro (IT) Lazio Roma Tipo de actividad Higher or Secondary Education Establishments Enlaces Contactar con la organización Opens in new window Sitio web Opens in new window Participación en los programas de I+D de la UE Opens in new window Red de colaboración de HORIZON Opens in new window Coste total € 1 587 500,00