2014

Genetic Algorithms and the Search for Viable String Vacua

Abel, Steven, Rizos, John

Understand

Genetic Algorithms are introduced as a search method for finding string vacua with viable phenomenological properties.

It is shown, by testing them against a class of Free Fermionic models, that they are orders of magnitude more efficient than a randomised search.
As an example, three generation, exophobic, Pati-Salam models with a top Yukawa occur once in every 10^{10} models, and yet a Genetic Algorithm can find them after constructing only 10^5 examples.
Such non-deterministic search methods may be the only means to search for Standard Model string vacua with detailed phenomenological requirements.

Built on

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Similar

I. Antoniadis, G. K. Leontaris and J. Rizos, “A Three generation S U ( 4 ) × O ⁡ ( 4 ) SU(4)\times O(4) string model,” Phys. Lett. B 245
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2003
Cited alongside, same era.
For reviews see David E. Goldberg “Genetic Algorithms in Search, Optimization and Machine Learning”, Addison Wesley (1 Jan 1989); C.Reeves and J.E.Rowe, “Genetic Algorithms: Principles and Perspectives”, Springer (2002); Z, Michalewicz, D.B. Fogel, “How to Solve It: Modern Heuristics”, Springer, 2nd ed. (2004)
2004
Cited alongside, same era.
B. C. Allanach, D. Grellscheid and F. Quevedo, “Genetic algorithms and experimental discrimination of SUSY models,” JHEP 0407
2004
Cited alongside, same era.
A. E. Faraggi, C. Kounnas, S. E. M. Nooij and J. Rizos, “Towards the classification of Z 2 × Z 2 Z_{2}\times Z_{2} fermionic models,” [hep-th/031105]; “Classification of the chiral Z 2 × Z 2 Z_{2}\times Z_{2} fermionic models in the heterotic superstring,” Nucl. Phys. B 695
2004
Cited alongside, same era.
M. R. Douglas, “The String landscape and low energy supersymmetry,” arXiv:1204.6626 [hep-th]
Original
Cited in the paper.
J. Rizos, “Top quark mass coupling and classification of weakly-coupled heterotic superstring vacua,” arXiv:1404.0819 [hep-ph]
Original
Cited in the paper.

Then

F. Denef and M. R. Douglas, “Computational complexity of the landscape. I.,” Annals Phys. 322
2007
Later among the works it cites.
A. E. Faraggi, C. Kounnas, S. E. M. Nooij and J. Rizos, “Towards the classification of Z 2 × Z 2 Z_{2}\times Z_{2} fermionic models,” [hep-th/031105]; “Classification of the chiral Z(2) x Z(2) fermionic models in the heterotic superstring,” Nucl. Phys. B 695
2007
Later among the works it cites.
D. Senechal, “Search for four-dimensional string models, I,” Phys. Rev. D 39
Original
2009
Later among the works it cites.
K. R. Dienes and M. Lennek, “Fighting the Floating Correlations: Expectations and Complications in Extracting Statistical Correlations from the String Theory Landscape,” Phys. Rev. D 75
Original
2009
Later among the works it cites.
B. Assel, K. Christodoulides, A. E. Faraggi, C. Kounnas and J. Rizos, “Exophobic Quasi-Realistic Heterotic String Vacua,” Phys. Lett. B 683
Original
2011
Later among the works it cites.
J. Blbck, U. Danielsson and G. Dibitetto, “Fully stable dS vacua from generalised fluxes,” JHEP 1308
Original
2013
Later among the works it cites.

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