A Non-Standard String Embedding of E8

Details A Non-Standard String Embedding of E8 A Non-Standard String Embedding of E8

2008-10-06

arxiv.org/abs/0810.1038v1

Mod.Phys.Lett.A24:1577-1582,2009

Physics

High Energy Physics

High Energy Physics - Phenomenology

Standard Latex, 7 pages

Scientific paper

10.1142/S0217732309030965

An algorithm to systematically and efficiently generate free fermionic heterotic string models was recently introduced. This algorithm has been adopted by the Free Fermionic Model Construction (FFMC) program at Baylor University. As its first application, the algorithm is being applied to systematically generate the complete set of free fermionic heterotic string models with untwisted left-moving (worldsheet supersymmetric) sectors, up to continually advancing Layer and Order. Statistical analysis of this study will be reported in the near future. However, in a series of separate notes we will be reporting some of the more interesting models that appear along the way. In this, our first such note, we reveal a different string embedding of E8 than is standard. That is, rather than realize E8 via an SO(16) embedding, 248 = 120 + 128, we realize it via an SU(9) embedding, 248 = 80 + 84 + 84-bar. This is obtained in a Layer 1, Order 6 model for which modular invariance itself dictates a gravitino sector accompany the gauge sector.

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