Objetivo The aim of this proposal is to study aspects of one dimensional defects in two dimensional field theories. One aspect is the relation of a certain class of defects, Wilson loops, to the integrable structure of Wess-Zumino-Witten models and coset models. Through the use of quantum groups, it should be possilbe to quantize these classical defects and describe exactly in a universal way a large class of boundary renormalization group flows of conformal field theories. A second aspect is the relations of defects to N=2 supersymmetric gauge theories in four dimensions. Recent results have shown mysterious connections between the eigenvalues of quantum defects and the instanton corrections of the moduli space of the gauge theories. We plan to study the defects of the Hitchin systems underlying the gauge theories, and relate them to kown defects in Liouville theory. This work should help elucidate the still poorly understood relations between N=2 gauge theories, integrable systems and conformal field theories in two dimensions. Ámbito científico natural sciencesmathematicsapplied mathematicsmathematical physicsconformal field theory Programa(s) FP7-PEOPLE - Specific programme "People" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013) Tema(s) FP7-PEOPLE-2009-IEF - Marie Curie Action: "Intra-European Fellowships for Career Development" Convocatoria de propuestas FP7-PEOPLE-2009-IEF Consulte otros proyectos de esta convocatoria Régimen de financiación MC-IEF - Intra-European Fellowships (IEF) Coordinador CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE CNRS Aportación de la UE € 157 945,60 Dirección RUE MICHEL ANGE 3 75794 Paris Francia Ver en el mapa Región Ile-de-France Ile-de-France Paris Tipo de actividad Research Organisations Contacto administrativo Liliane Flabbee (Ms.) Enlaces Contactar con la organización Opens in new window Sitio web Opens in new window Coste total Sin datos
