Skyrme proposed to model atomic nuclei as solitons in a non-linear field theory of pions. This model has stimulated interesting research in a variety of different fields from nuclear physics to pure mathematics. In fact, the UK has played an internationally leading part. Recently, there have been several developments which have led to three current EPSRC grants (Krusch: EP/I034491/1 “Skyrmion-Skyrmion Scattering and Nuclear Physics”, Speight/Sutcliffe: EP/K003453/1 “Geometry, Holography and Skyrmions”, Atiyah/Schroers: EP/K00848X/1 “Dynamics in Geometric Models of Matter”). The idea of this conference is to bring together researchers that work on various aspects of the Skyrme model and related models.
The focus will be on the following themes:
1. BPS Skyrmions I: A variant of the Skyrme model consisting only of the potential and a sixth order term has exciting properties. Its symmetry under volume preserving diffeomorphisms gives rise to physical predictions for large atomic nuclei. The model is studied using differential geometrical as well as numerical methods.
2. BPS Skyrmions II: Starting from self-dual Yang-Mills, the Skyrme model can be derived as an expansion in meson fields. This approach has recently also been derived by Sakai and Sugimoto using string theory, and approximations used in the derivation have been verified numerically by Bolognesi and Sutcliffe.
3. Skyrmions and Nuclear Physics: Recent years saw substantial progress in calculating ground and excited states of atomic nuclei using zero mode quantization (and Finkelstein-Rubinstein constraints). Currently, sophisticated numerical simulations are shedding new light on the structure of classical minimal energy solutions as well as spinning configurations and Skyrmion scattering. These results are expected to further improve our understanding of quantization issues and their implications for nuclear physics.
4. Geometric models of matter: Atiyah, Manton and Schroers derived models for elementary particles like the electron and the proton in terms of four-dimensional geometries. The current aim is to clarify how the geometric description accounts for the spin of elementary particles and how one can describe interactions in purely geometric terms.
5. New results in related models (e.g. Hopf solitons, monopoles, solitons coupled to gravity).
The workshop will aim to give PostDocs and PhD students the opportunity to present their research. Their will also be many opportunities for discussions. The conference is expected to lead to new research collaborations and may also lead to further funding applications.