Complex structure moduli stability in toroidal compactifications

Abstract

In this paper we present a classification of possible dynamics of closed string moduli within specific toroidal compactifications of Type II string theories due to the NS-NS tadpole terms in the reduced action. They appear as potential terms for the moduli when supersymmetry is broken due to the presence of D-branes. We particularise to specific constructions with two, four and six-dimensional tori, and study the stabilisation of the complex structure moduli at the disk level. We find that, depending on the cycle on the compact space where the brane is wrapped, there are three possible cases: i) there is a solution inside the complex structure moduli space, and the configuration is stable at the critical point, ii) the moduli fields are driven towards the boundary of the moduli space, iii) there is no stable solution at the minimum of the potential and the system decays into a set of branes.

24 pages, JHEP3.cls, 19 figures. A few references added

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Cited by in corpus (8)

• Lectures on string/brane cosmology
• Orientifolds of K3 and Calabi-Yau Manifolds with Intersecting D-branes
• Supersymmetric Intersecting Branes on the Type IIA T^6/Z_4 orientifold
• Exact Standard Model Compactifications from Intersecting Branes
• Dilaton tadpoles and D-brane interactions in compact spaces
• Symplectic covariance of the N=2 hypermultiplets
• The many symmetries of Calabi-Yau compactifications
• 20+ years of Inflation