Objective 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. Fields of science natural sciencesmathematicsapplied mathematicsmathematical physicsconformal field theory Programme(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) Topic(s) FP7-PEOPLE-2009-IEF - Marie Curie Action: "Intra-European Fellowships for Career Development" Call for proposal FP7-PEOPLE-2009-IEF See other projects for this call Funding Scheme MC-IEF - Intra-European Fellowships (IEF) Coordinator CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE CNRS EU contribution € 157 945,60 Address RUE MICHEL ANGE 3 75794 Paris France See on map Region Ile-de-France Ile-de-France Paris Activity type Research Organisations Administrative Contact Liliane Flabbee (Ms.) Links Contact the organisation Opens in new window Website Opens in new window Total cost No data
