Objective The geometric correspondence between the Bethe ansatz solution of the Gaudin model and correlation functions of WZNW models, which was proposed by Feigin, Frenkel and Reshetikhin, is an ideal framework for studying the conformal properties of W structures, which are obtained by Hamiltonian reduction. There, it is always possible to find a projective parameterization when conformal covariance is imposed via zero curvature conditions. It would be very interesting to discuss this point in the context of Langlands correspondence in order to get a better understanding. A prominent example to start with are the two SL(2) embeddings of SL(3). It also seems to be very promising to find a supersymmetric extension of Langlands duality, which would establish a deep relationship between the OSp(1,2) Gaudin model and the corresponding superconformal structures for W algebras. From the view-point of statistical physics another interesting task is to try to generalize the proof of the completeness of the Bethe ansatz given by Frenkel to other integrable quantum spin chains. Fields of science natural sciencesmathematicspure mathematicsalgebra Programme(s) FP4-TMR - Specific research and technological development programme in the field of the training and mobility of researchers, 1994-1998 Topic(s) 0302 - Post-doctoral research training grants TP01 - Elementary Particles and Fields Call for proposal Data not available Funding Scheme RGI - Research grants (individual fellowships) Coordinator Centre National de la Recherche Scientifique (CNRS) EU contribution No data Address Centre de Luminy 13288 Marseille France See on map Total cost No data Participants (1) Sort alphabetically Sort by EU Contribution Expand all Collapse all Not available Germany EU contribution No data Address See on map Total cost No data
