2004/09/30 by Joseph P. Conlon, Fernando Quevedo · 6 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Brane #Brane cosmology #Calabi–Yau manifold #Compactification (mathematics) #Conifold #Cosmology and Gravitation Theories #Dilaton #Gauge group #Gauge theory #Hypersurface #Mathematical physics #Mathematics #Moduli #Moduli space #Orientifold #Particle physics #Particle physics theoretical and experimental studies #Physics #Pure mathematics #Quantum mechanics #String theory #Supersymmetry #Supersymmetry breaking #Theoretical physics #hep-ph #hep-th
paper · pdf · doi:10.1088/1126-6708/2004/10/039
published as JHEP 0410 (2004) 039 · 26 pages, 9 figures; v2: references added
arxiv created 2004/10/08 · openalex publication_date 2004/10/19 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We explicitly construct and study the statistics of flux vacua for type IIB string theory on an orientifold of the Calabi-Yau hypersurface P4[1,1,2,2,6], parametrised by two relevant complex structure moduli. We solve for these moduli and the dilaton field in terms of the set of integers defining the 3-form fluxes and examine the distribution of vacua. We compare our numerical results with the predictions of the Ashok-Douglas density det (-R - ω), finding good overall agreement in different regions of moduli space. The number of vacua are found to scale with the distance in flux space. Vacua cluster in the region close to the conifold singularity. Large supersymmetry breaking is more generic but supersymmetric and hierarchical supersymmetry breaking vacua can also be obtained. In particular, the small superpotentials and large dilaton VEVs needed to obtain de Sitter space in a controllable approximation are possible but not generic. We argue that in a general flux compactification, the rank of the gauge group coming from D3 branes could be statistically preferred to be very small.