D7-Brane Moduli vs. F-Theory Cycles in Elliptically Fibred Threefolds

Understand

We study the space of geometric and open string moduli of type IIB compactifications from the perspective of complex structure deformations of F-theory.

• In order to find a correspondence, we work in the weak coupling limit and for simplicity focus on compactifications to 6 dimensions.
• Starting from the topology of D7-branes and O7-planes, we construct the 3-cycles of the F-theory threefold.
• We achieve complete agreement between the degrees of freedom of the Weierstrass model and the complex structure deformations of the elliptic Calabi-Yau.