Chiral family classification of fermionic Z2xZ2 heterotic orbifold models

Details Chiral family classification of fermionic Z2xZ2 heterotic orbifold models Chiral family classification of fermionic Z2xZ2 heterotic orbifold models

2006-06-15

arxiv.org/abs/hep-th/0606144v3

Phys.Lett.B648:84-89,2007

Physics

High Energy Physics

High Energy Physics - Theory

12 pages. Standard Latex. 2 figures. Final version to be published in PLB

Scientific paper

10.1016/j.physletb.2006.09.071

Free fermionic construction of four dimensional string vacua, are related to the Z2XZ2 orbifolds at special points in the moduli space, and yielded the most realistic three family string models to date. Using free fermionic construction techniques we are able to classify more than 10^10 string vacua by the net family and anti-family number. Using a montecarlo technique we find that a bell shaped distribution that peaks at vanishing net number of chiral families. We also observe that ~15% of the models have three net chiral families. We find that in addition to mirror symmetry that the distribution exhibits a symmetry under the exchange of (spinor plus anti-spinor) representations with vectorial representations.

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