The statistics of supersymmetric D-brane models
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 ca...
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| Main Authors: | , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
8 March 2005
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| In: |
Nuclear physics. B, Particle physics
Year: 2005, Volume: 713, Issue: 1, Pages: 83-135 |
| ISSN: | 1873-1562 |
| DOI: | 10.1016/j.nuclphysb.2005.02.005 |
| Online Access: | Verlag, kostenfrei, Volltext: http://dx.doi.org/10.1016/j.nuclphysb.2005.02.005 Verlag, kostenfrei, Volltext: http://www.sciencedirect.com/science/article/pii/S0550321305001318 
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| Author Notes: | Ralph Blumenhagen, Florian Gmeiner, Gabriele Honecker, Dieter Lüst, Timo Weigand |
| Summary: | 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×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. |
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| Item Description: | Gesehen am 09.01.2018 |
| Physical Description: | Online Resource |
| ISSN: | 1873-1562 |
| DOI: | 10.1016/j.nuclphysb.2005.02.005 |