Speaker
Andrei Constantin
(University of Oxford)
Description
Based on: arXiv:1307.4787, arXiv:1311.1941 and arXiv:1202.1757.
It has recently been realised that polystable, holomorphic sums of line bundles over smooth Calabi-Yau three-folds provide a fertile ground for heterotic model building. Large numbers of phenomenologically promising such models have been constructed for various classes of Calabi-Yau manifolds. We discuss the class of models based on complete intersections in products of projective spaces.
We also present a case study for the tetra-quadric manifold - a Calabi-Yau hypersurface embedded in a product of four $\mathbb C\mathbb P^1$ spaces. For a specific semi-realistic example, we explore the embedding of the line bundle sum into the larger moduli space of non-Abelian bundles, both by means of constructing specific polystable non-Abelian bundles and by turning on VEVs in the associated low-energy theory. In this context, we explore the fate of the Higgs doublets as we move in bundle moduli space.
The non-Abelian compactifications thus constructed lead to $SU(5)$ GUT models with an extra global $U(1)$ symmetry, which combined with the hypercharge leads to a $B-L$ symmetry. The non-Abelian compactifications inherit many of the appealing phenomenological features of the Abelian model, such as the absence of dimension four and dimension five operators triggering a fast proton decay.
Authors
Andre Lukas
(University of Oxford)
Andrei Constantin
(University of Oxford)
Eran Palti
Evgeny Buchbinder
(University of Western Australia)
James Gray
(Virginia Tech)
Lara Anderson
(Virginia Tech)
