Merging Heterotic Orbifolds and K3 Compactifications with Line Bundles

Abstract

We clarify the relation between six-dimensional Abelian orbifold compactifications of the heterotic string and smooth heterotic K3 compactifications with line bundles for both SO(32) and E_8 x E_8 gauge groups. The T^4/Z_N cases for N=2,3,4 are treated exhaustively, and for N=6 some examples are given. While all T^4/Z_2 and nearly all T^4/Z_3 models have a simple smooth match involving one line bundle only, this is only true for some T^4/Z_4 and T^4/Z_6 cases. We comment on possible matchings with more than one line bundle for the remaining cases. The matching is provided by comparisons of the massless spectra and their anomalies as well as a field theoretic analysis of the blow-ups.

49 pages, 1 figure; v2: references added

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• Constraints on 6D Supergravity Theories with Abelian Gauge Symmetry
• Resolutions of C^n/Z_n Orbifolds, their U(1) Bundles, and Applications to String Model Building
• From strings to the MSSM
• 6D supergravity without tensor multiplets
• Heterotic MSSM on a Resolved Orbifold
• A Shift Symmetry in the Higgs Sector: Experimental Hints and Stringy Realizations
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• Multiple anomalous U(1)s in heterotic blow-ups
• GUT Relations from String Theory Compactifications
• Towards Exotic Matter and Discrete Non-Abelian Symmetries in F-theory
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• Compact heterotic orbifolds in blow-up
• Heterotic orbifold resolutions as (2,0) gauged linear sigma models
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• Grand Unification in the Heterotic Brane World
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• Modular curves, the Tate-Shafarevich group and Gopakumar-Vafa invariants with discrete charges
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• F-theory duals of singular heterotic K3 mode
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• Weierstrass meets Enriques
• 6D Effective Action of Heterotic Compactification on K3 with nontrivial Gauge Bundles
• Heterotic warped Eguchi-Hanson spectra with five-branes and line bundles
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• From Type II string theory towards BSM/dark sector physics
• On genus one fibered Calabi-Yau threefolds with 5-sections
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• Flat equivariant gerbes: holonomies and dualities
• Local Grand Unification in the Heterotic Landscape
• Taming Triangulation Dependence of T6/Z2xZ2 Resolutions
• Jacobi Forms of Higher Index and Paramodular Groups in N=2, D=4 Compactifications of String Theory
• Transitions of Orbifold Vacua
• Voisin-Borcea Manifolds and Heterotic Orbifold Models
• Heterotic strings on $(K3\times T^2)/{\mathbb{Z}}_3$ and their dual Calabi-Yau threefolds
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• Hidden Sectors from Multiple Line Bundles for the $B-L$ MSSM