Heterotic non-Abelian orbifolds

Abstract

We perform the first systematic analysis of particle spectra obtained from heterotic string compactifications on non-Abelian toroidal orbifolds. After developing a new technique to compute the particle spectrum in the case of standard embedding based on higher dimensional supersymmetry, we compute the Hodge numbers for all recently classified 331 non-Abelian orbifold geometries which yield N=1 supersymmetry for heterotic compactifications. Surprisingly, most Hodge numbers follow the empiric pattern h^(1,1) - h^(2,1) = 0 mod 6, which might be related to the number of three standard model generations. Furthermore, we study the fundamental groups in order to identify the possibilities for non-local gauge symmetry breaking. Three examples are discussed in detail: the simplest non-Abelian orbifold S_3 and two more elaborate examples, T_7 and Δ(27), which have only one untwisted Kaehler and no untwisted complex structure modulus. Such models might be especially interesting in the context of no-scale supergravity. Finally, we briefly discuss the case of orbifolds with vanishing Euler numbers in the context of enhanced (spontaneously broken) supersymmetry.

42 pages, 3 tables; v2: matches JHEP version

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• Large hierarchies from approximate R symmetries
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• Heterotic MSSM on a Resolved Orbifold
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• A Zip-code for Quarks, Leptons and Higgs Bosons
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Cited by in corpus (10)

• CP Violation from Finite Groups
• Charting the flavor landscape of MSSM-like Abelian heterotic orbifolds
• Note on the space group selection rule for closed strings on orbifolds
• Unifying the 6D $\mathcal{N}=(1,1)$ String Landscape
• Exceptional Unification of Families and Forces
• Hierarchical structure of physical Yukawa couplings from matter field Kähler metric
• Flat equivariant gerbes: holonomies and dualities
• Flavon alignments from orbifolding: $SU(5)\times SU(3)$ model with ${\mathbb{T}}^6/\Delta (54)$
• A lepton model with nearly Cobimaximal mixing
• Nonexistence of locally but not globally supersymmetric orbifolds