2014

On finiteness of Type IIB compactifications: Magnetized branes on elliptic Calabi-Yau threefolds

Cvetič, Mirjam, Halverson, James, Klevers, Denis et al.

Understand

The string landscape satisfies interesting finiteness properties imposed by supersymmetry and string-theoretical consistency conditions.

We study N=1 supersymmetric compactifications of Type IIB string theory on smooth elliptically fibered Calabi-Yau threefolds at large volume with magnetized D9-branes and D5-branes.
We prove that supersymmetry and tadpole cancellation conditions imply that there is a finite number of such configurations.
In particular, we derive an explicitly computable bound on the number of magnetic flux quanta, as well as the number of D5-branes, which is independent of the continuous moduli of the setup.

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