Fixing All Moduli for M-Theory on K3xK3
arXiv:hep-th/0506014 · doi:10.1088/1126-6708/2005/10/001
Abstract
We analyze M-theory compactified on K3xK3 with fluxes preserving half the supersymmetry and its F-theory limit, which is dual to an orientifold of the type IIB string on . The geometry of attractive K3 surfaces plays a significant role in the analysis. We prove that the number of choices for the K3 surfaces is finite and we show how they can be completely classified. We list the possibilities in one case. We then study the instanton effects and see that they will generically fix all of the moduli. We also discuss situations where the instanton effects might not fix all the moduli.
21 pages
References in corpus (10)
- Type IIA Moduli Stabilization
- Gaugino Condensation and Nonperturbative Superpotentials in Flux Compactifications
- Fluxes and gaugings: N = 1 effective superpotentials
- D3 Brane Action and Fermion Zero Modes in Presence of Background Flux
- Non-Perturbative Superpotentials in F-theory and String Duality
- Gauging the Heisenberg algebra of special quaternionic manifolds
- Counting fermionic zero modes on M5 with fluxes
- Topological constraints on stabilized flux vacua
- An Analysis of Fluxes by Duality
- No-scale supergravity from higher dimensions
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- F-theory models with 3 to 8 U(1) factors on K3 surfaces
- A Heterotic Flux Background and Calibrated Five-Branes
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- W=0 Complex Structure Moduli Stabilization on CM-type K3 x K3 Orbifolds:---Arithmetic, Geometry and Particle Physics---
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