Geometriska strukturer och nya lösningar i teoretisk högenergifysik
Tidsperiod: 2014-01-01 till 2016-12-31
Projektledare: Ulf Lindström
Budget: 2 400 000 SEK
During the past decade there has been an important development of the mathematical tools available for high-energy physics. I have participated in and contributed to this development of Generalized Complex Geometry (GCG). In particular, I have used it as a tool to understand supersymmetric theories, especially sigma models. To investigate such models and their geometry is important whether they are viewed as effective theories in the low energy limit of some fundamental theory, as a sector of a theory such as supergravity or as probes to understand the coupling between symmetry and geometry. This project aims at using the knowledge of the new geometry to characterize supergravity, doubled field theory and M-theory. The final goal is then to find new solutions and new geometries for these theories. This necessarily requires a thorough understanding of various aspects of GCG as well as extending it to fit aspects of the the models mentioned. Part of this has been initiated in other studies but a large part will rest on recent results of me and my collaborators. Doubled field theory is important for the understanding of e.g., so called ``non geometric´´ phases of field theory/string theory. M-theory is the name given to the structure underlying perturbative and nonperturbative string theory and 11-dimensionall supergravity. If successful, the project will contribute to four active fields in high-energy theory and to the development of complex geometry.