The statistics of supersymmetric D-brane models
The statistics of supersymmetric D-brane models
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超对称D膜模型的统计
DOI：
10.1016/j.nuclphysb.2005.02.005
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发表时间：
2004
期刊：
影响因子：
--
通讯作者：
T. Weigand
中科院分区：
文献类型：
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作者：
R. Blumenhagen;F. Gmeiner;G. Honecker;D. Lust;T. Weigand
我们研究了弦紧凑化现象上重要的D膜扇区的统计数据。特别地，对于一类相交的D-brane模型，我们推广了数论中已知的方法来确定蝌蚪抵消条件解的渐近统计分布。我们的方法允许我们计算规范理论可见的统计分布，如规范群的秩数、手征生成数或SU(N)规范因子的概率。具体地说，我们研究了T2、T4/Z2和T6/Z2×Z2定向折叠上的相交膜的统计。有趣的是，我们发现了规范群的等级和手征世代数之间的统计关联。最后，我们将规范理论扇区的统计与通量扇区的统计相结合，研究规范理论量的分布是如何受到影响的。
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 T2and T4/Z2and T6/Z2×Z2orientifolds. 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.