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Topological constraints on stabilized flux vacua

Natalia Saulina
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Abstract

We study the influence of four-form fluxes on the stabilization of the Kahler moduli in M-theory compactified on a Calabi-Yau four-fold. We find that, under certain non-degeneracy condition on the flux, M5-instantons of a new topological type generate a superpotential. The existence of such an instanton restricts possible four-folds for which the stabilization by this mechanism is expected. These topological constraints on the background are different from the previously known constraints, derived from the flux-free analysis of the nonperturbative effects.

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Natalia Saulina. 2005-05-11. Topological constraints on stabilized flux vacua. https://doi.org/10.1016/j.nuclphysb.2005.05.011

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