MSSM-like models on Z(8) toroidal orbifolds

2013/08/23 by Stefan Groot Nibbelink, Nibbelink, Stefan Groot, Orestis Loukas +1 · 2 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Nonlinear Waves and Solitons #hep-ph #hep-th

paper · pdf · doi:10.48550/arxiv.1308.5145

1+28 pages LaTeX, 27 figures, minor revisions and clarifications, version to be published in JHEP

arxiv created 2013/12/04 · arxiv updated 2013/12/05

Abstract

We extend the promising heterotic string searches for MSSM-like models to Z₈ orbifolds. There exist five inequivalent Z₈ toroidal orbifolds distinguished by two types of twists that act on five different torus lattices; one of which cannot be represented as a Lie-algebra root lattice. Contrary to previous investigations, we study the consequences of the different underlying orbifold torus lattices. Therefore, rather than focussing on one particular geometry, we perform systematic model searches on these five Z₈ orbifolds simultaneously, taking all possible inequivalent SU(5) and SO(10) gauge shifts as our starting point. We present cumulative Tables and Figures comparing the chiral SM and vector-like exotic spectra on these geometries.

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Related

• Heterotic Orbifolds
• N=1 and non-supersymmetric open string theories in six and four space-time dimensions
• String MSSM through flipped SU(5) from Z₁₂ orbifold
• Minimal String Model in Z₄, Z₆ and Z₈ Orbifold Constructions
• Grand Unification in the Heterotic Brane World