Fixing D7 Brane Positions by F-Theory Fluxes

Abstract

To do realistic model building in type IIB supergravity, it is important to understand how to fix D7-brane positions by the choice of fluxes. More generally, F-theory model building requires the understanding of how fluxes determine the singularity structure (and hence gauge group and matter content) of the compactification. We analyse this problem in the simple setting of M-theory on K3xK3. Given a certain flux which is consistent with the F-theory limit, we can explicitly derive the positions at which D7 branes or stacks of D7 branes are stabilised. The analysis is based on a parameterization of the moduli space of type IIB string theory on T^2/Z_2 (including D7-brane positions) in terms of the periods of integral cycles of M-theory on K3. This allows us, in particular, to select a specific desired gauge group by the choice of flux numbers.

41 pages, 2 figures; latex font corrected

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• Flux Compactification
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• Gaugino Condensates and D-terms from D7-branes
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Cited by in corpus (9)

• Lectures on F-theory compactifications and model building
• GUTs in Type IIB Orientifold Compactifications
• The N=1 effective action of F-theory compactifications
• D7-Brane Moduli Space in Axion Monodromy and Fluxbrane Inflation
• The LVS Parametric Tadpole Constraint
• Flipped SU(5) GUTs from E_8 Singularities in F-theory
• On F-theory E_6 GUTs
• Type IIB Flux Vacua from M-theory via F-theory
• W=0 Complex Structure Moduli Stabilization on CM-type K3 x K3 Orbifolds:---Arithmetic, Geometry and Particle Physics---