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Tristan Hübsch: Research Interests

Prof. Hübsch’s research interests are focused on various theoretical and mathematical aspects of fundamental physics, including high energy particle physics, gauge theories, supersymmetry, (super)string theory and its M- and F-theory extensions, (some) related cosmology and astrophysics, but also the foundational aspects aiming for a consistently complete gravitating quantum theory. His research addresses both the study of the mathematical methods and techniques used in these subjects, and also their concrete application towards a more realistic Theory of More than Everything.

The extra dimensions of spacetimes dynamically spanned by superstrings easily curl up into inobservably teensy (smaller than e.g., 10–19 m ⇆ 1 TeV energies at the LHC/CERN) compact spaces of Calabi–Yau geometry. Since about 1985, Prof. Hübsch has been studying methods of constructing and analyzing such spaces, and how they impact (or even determine) the observable physics. This research also includes so-called Brane-World cosmological models where our universe is merely a crease/defect within a bigger and higher-dimensional one, where supersymmetry breaking turns out to be related to the small cosmological constant and to the exponentially large hierarchy between the Planck energy scale and the energy scale of electro-weak interactions and the observed masses of elementary particles observed currently. Finally, this research also includes the study of indirect but observable effects of other (not directly observed) modes of superstring oscillations also on the (cosmically) large scale features of our world, as well as on the foundational properties of gravitating quantum fields.

This research also includes developing the representation theory of supersymmetry, the goal of which is to have a complete classification of so-called off-shell supermultiplets and their possible interactions. Supersymmetry is the only known universal mechanism that stabilizes the vacuum, and it necessarily unifies particles and fields into supermultiplets. The knowledge of off-shell (as opposed to on-shell, classical) such supermultiplets is necessary for a consistent quantum field theory, and is sorely incomplete to date. In turn, direct experimental evidence for so-called super-partners of the known particles is expected to be seen in soon experiments to be run at international centers such as CERN, in Europe.

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