Objectif
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.
Champ scientifique (EuroSciVoc)
CORDIS classe les projets avec EuroSciVoc, une taxonomie multilingue des domaines scientifiques, grâce à un processus semi-automatique basé sur des techniques TLN. Voir: https://op.europa.eu/en/web/eu-vocabularies/euroscivoc.
CORDIS classe les projets avec EuroSciVoc, une taxonomie multilingue des domaines scientifiques, grâce à un processus semi-automatique basé sur des techniques TLN. Voir: https://op.europa.eu/en/web/eu-vocabularies/euroscivoc.
- sciences naturellesmathématiquesmathématiques appliquéesphysique mathématiquethéorie conforme des champs
Vous devez vous identifier ou vous inscrire pour utiliser cette fonction
Thème(s)
Appel à propositions
FP7-PEOPLE-2009-IEF
Voir d’autres projets de cet appel
Régime de financement
MC-IEF - Intra-European Fellowships (IEF)Coordinateur
75794 Paris
France