2004/11/30 by Ralph Blumenhagen, Florian Gmeiner, Gabriele Honecker +3 · 7 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Brane #Combinatorics #Cosmology and Gravitation Theories #Distribution (mathematics) #Gauge (firearms) #Gauge group #Gauge theory #Hidden sector #Mathematical analysis #Mathematics #Observable #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum mechanics #Rank (graph theory) #Statistics #String (physics) #Supersymmetry #Theoretical physics #hep-th
paper · pdf · doi:10.1016/j.nuclphysb.2005.02.005
published as Nucl.Phys.B713:83-135,2005 · 62 pages, 31 figures, harvmac; v3: sections 3.2. + 3.7. added, figs. 7,28,29 added, figs. 24,25,26 corrected, refs. added, typos corrected
arxiv created 2004/12/16 · openalex publication_date 2005/03/11 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We investigate the statistics of the phenomenologically important D-brane sector of string compactifications. In particular for the class of intersecting D-brane models, we generalise methods known from number theory to determine the asymptotic statistical distribution of solutions to the tadpole cancellation conditions. Our approach allows us to compute the statistical distribution of gauge theoretic observables like the rank of the gauge group, the number of chiral generations or the probability of an SU(N) gauge factor. Concretely, we study the statistics of intersecting branes on T2 and T4/Z2 and T6/Z2 x Z2 orientifolds. Intriguingly, we find a statistical correlation between the rank of the gauge group and the number of chiral generations. Finally, we combine the statistics of the gauge theory sector with the statistics of the flux sector and study how distributions of gauge theoretic quantities are affected.