Topological constraints on stabilized flux vacua

Details Topological constraints on stabilized flux vacua Topological constraints on stabilized flux vacua

2005-03-16

arxiv.org/abs/hep-th/0503125v3

Nucl.Phys. B720 (2005) 203-210

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, harvmac, references added

Scientific paper

10.1016/j.nuclphysb.2005.05.011

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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