The statistics of supersymmetric D-brane models
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Publication:875772
DOI10.1016/J.NUCLPHYSB.2005.02.005zbMATH Open1176.81098arXivhep-th/0411173OpenAlexW2027068747MaRDI QIDQ875772
Author name not available (Why is that?)
Publication date: 16 April 2007
Published in: (Search for Journal in Brave)
Abstract: 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 T^2 and T^4/Z_2 and T^6/Z_2 x Z_2 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.
Full work available at URL: https://arxiv.org/abs/hep-th/0411173
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