Genetic algorithms and the search for viable string vacua
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 1010 models, and yet a Genetic Algorithm can find them after constructing only 105 examples. Such non-deterministic search methods may be the only means to search for Standard Model string vacua with detailed phenomenological requirements.
KeywordsSuperstring Vacua Superstrings and Heterotic Strings
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- J. Holland, Adaptation in Natural and Artificial Systems, the MIT Press, reprint edition 1992, originally published in 1975.Google Scholar
- David E. Goldberg, Genetic Algorithms in Search, Optimization and Machine Learning, Addison Wesley, Jan. 1989.Google Scholar
- C.Reeves and J.E.Rowe, Genetic Algorithms: Principles and Perspectives, Springer, 2002.Google Scholar
- Z, Michalewicz and D.B. Fogel, How to Solve It: Modern Heuristics, Springer, 2nd ed., 2004.Google Scholar
- H. Kawai, D.C. Lewellen and S.H.H. Tye, Construction of Four-Dimensional Fermionic String Models, Phys. Rev. Lett. 57 (1986) 1832 [Erratum ibid. 58 (1987) 429] [INSPIRE].
- T. Jones and S. Forrest, Fitness Distance Correlation as a Measure of Problem Difficulty for Genetic Algorithms, in Proceedings of the 6th International Conference on Genetic Algorithms, 1995, pg. 184, Morgan Kaufmann, San Francisco.Google Scholar
- P. Collard, A. Gaspar, M. Clergue, C. Escazu, Fitness Distance Correlation, as statistical measure of Genetic Algorithm difficulty, revisited, in Proceedings of the European Conference on Artificial Intelligence, 1998, pg. 650, John Wiley.Google Scholar
- J.C. Pati and A. Salam, Lepton Number as the Fourth Color, Phys. Rev. D 10 (1974) 275 [Erratum ibid. D 11 (1975) 703] [INSPIRE].