Research objectives and content
I Recent developments have shown that dualities in string theory and field theory are strongly interrelated. | The aim of this project is to understand how to implement the rules of semiclassical calculations using (Euclidean) p-branes, which describe the non-perturbative sector of string theory. I In the first part we will try to recover some results derived by other methods and in particular the Seiberg-Witten solution of N=2 gauge theory. Then we would like to apply these methods to some I novel, unresolved problems such as higher derivative terms and the
compactification of Seiberg-Witten theory to three dimension. Training content (objective, benefit and expected impact)
This project intends to get a deeper understanding on the rules of D-brane calculations thereby making contact to M(atrix) theory, which is a complete non-!iY-ry in eleven dimensions. I The profit from discussions with the Ecole Polytechnique will be an important input to the development of the project.
Links with industry / industrial relevance (22)