Conveners
Parallel: Tue 1-A
- Tatsuo Kobayashi
Parallel: Tue 2-A
- Fabian Ruehle
Parallel: Thu 1-A
- Kang-Sin Choi
Parallel: Thu 2-A
- Sungjay Lee
I will discuss upper bounds on the generation number of chiral zero-modes in heterotic and Type II string theories. We find that tadpole cancellation conditions lead to the small generation number of quarks and leptons.
We consider magnetized orbifold models to realize three-generation structure, mass hierarchy in the Standard model. In particular, we focus on the theory compactified on six-dimensional orbifolds, not on two-dimensional ones.
We use Wall's theorem to find bounds on the number of Calabi-Yau manifolds in the Kreuzer-Skarke list for small Picard number. Lower bounds are found using polynomial invariant theory, as well as some further invariants descending from the integral nature of the topological data. A range of computational techniques can then be applied to find explicit isomorphisms between realisations, and...
Recently, root bundles entered the quest for F-theory standard model constructions without exotic vector-like pairs. I will provide an overview of these developments.