F-theory Vacua and $\alpha'$-Corrections

Understand

In this work we analyze F-theory and Type IIB orientifold compactifications to study $\alpha '$-corrections to the four-dimensional, $\mathcal{N} = 1$ effective actions.

• In particular, we obtain corrections to the K\"ahlermoduli space metric and its complex structure for generic dimension originating from eight-derivative corrections to eleven-dimensional supergravity.
• We propose a completion of the $G^ 2 R^3$ and $(\nabla G)^2R^2$-sector in eleven-dimensions relevant in Calabi--Yau fourfold reductions.
• We suggest that the three-dimensional, $\mathcal{N}=2$ K\"ahler coordinates may be expressed as topological integrals depending on the first, second, and third Chern-forms of the divisors of the internal Calabi--Yau fourfold.