We want to study warped IIB flux solutions using the setup of Giddings-Kachru-Polchinski. The solution leads to a warped metric with a warp factor that only depends on the internal coordinates. We want to study the functional form of the warp factor to investigate the singular bulk problem, which states that the warped region is not a small throat in the CY but almost the entire CY becomes...
When constructing Calabi-Yau manifolds of dimension three, we often encounter elliptic or K3 fibered Calabi-Yau manifolds, and mirror symmetry of elliptic or K3 fibered Calabi-Yau manifolds is a well-studied subject from a variety of different interests. In contrast to this, except for those given by the fiber products of elliptic surfaces, Calabi-Yau threefolds fibred by abelian surfaces are...
We explain how geometric and arithmetic properties of Calabi-Yau period geometry serve to make physical predictions in perturbative quantum field theory and general relativity.
A brief review of the observable sector of the B-L MSSM heterotic M-theory is presented. A specific hidden sector involving an anomalous
holomorphic line bundle is analyzed and the associated Green-Schwartz mechanism, axions and D-term potential are discussed. The complex structure flux, gaugino condensation and string worldsheet superpotentials are analyzed and the associated F-term...
Thanks to advances in logarithmic Gromov-Witten theory, we can now construct mirror partners canonically in the generality that birational geometry suggests. In the talk I will try to quickly introduce this intrinsic mirror construction and then comment on recent developments in proving both the original enumerative predictions and homological mirror symmetry in this setup.
An essential ingredient in perturbative string theory is a certain measure on the moduli space ${\mathcal M}_g$ of curves. This measure is defined in terms of the Mumford isomorphism, which relates the canonical line bundle on ${\mathcal M}_g$ to the determinant of cohomology of the pushforward of the relative canonical line bundle on the universal curve. This pushforward, and thus also its...
After reviewing some basics of BPS state counting and of BPS quivers from a physics perspective, I will discuss new relationships between moduli spaces of quiver representations and between quiver DT invariants of distinct quivers which are related by so-called Galois covering functors. The new relationships are particularly interesting for quivers associated to canonical singularities that...
The first part of the talk reviews some recent progress in identifying realistic models of particle physics in the context of heterotic strings on Calabi-Yau threefolds with line bundle sums, focusing on the question of deriving the flavour parameters of the Standard Model. The second part discusses the role played by line bundle cohomology in understanding the birational geometry of...
