Advances in Theoretical and Mathematical Physics

Fixing All Moduli in a Simple F-Theory Compactification

Frederik Denef, Michael R. Douglas, Bogdan Florea, Antonella Grassi, and Shamit Kachru

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We discuss a simple example of an F-theory compactification on a Calabi--Yau fourfold where background fluxes, non-perturbative effects from Euclidean D3-instantons, and gauge dynamics on D7-branes allow us to fix all closed and open string moduli. We explicitly check that the known higher-order corrections to the potential, which we neglect in our leading approximation, only shift the results by a small amount. In our exploration of the model, we encounter interesting new phenomena, including examples of transitions where D7-branes absorb O3-planes, while changing topology to preserve the net D3 charge.

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Adv. Theor. Math. Phys., Volume 9, Number 6 (2005), 861-929.

First available in Project Euclid: 3 April 2006

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Denef, Frederik; Douglas, Michael R.; Florea, Bogdan; Grassi, Antonella; Kachru, Shamit. Fixing All Moduli in a Simple F-Theory Compactification. Adv. Theor. Math. Phys. 9 (2005), no. 6, 861--929.

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