A perfect match of MSSM-like orbifold and resolution models via anomalies

Abstract

Compactification of the heterotic string on toroidal orbifolds is a promising set-up for the construction of realistic unified models of particle physics. The target space dynamics of such models, however, drives them slightly away from the orbifold point in moduli space. This resolves curvature singularities, but makes the string computations very difficult. On these smooth manifolds we have to rely on an effective supergravity approximation in the large volume limit. By comparing an orbifold example with its blow-up version, we try to transfer the computational power of the orbifold to the smooth manifold. Using local properties, we establish a perfect map of the the chiral spectra as well as the (local) anomalies of these models. A key element in this discussion is the Green-Schwarz anomaly polynomial. It allows us to identify those redefinitions of chiral fields and localized axions in the blow-up process which are relevant for the interactions (such as Yukawa-couplings) in the model on the smooth space.

2+35 pages, 1 figure

References in corpus (10)

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• Toric Resolutions of Heterotic Orbifolds
• Multiple anomalous U(1)s in heterotic blow-ups
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Cited by in corpus (11)

• The Orbifolder: A Tool to study the Low Energy Effective Theory of Heterotic Orbifolds
• Computational Complexity of Vacua and Near-Vacua in Field and String Theory
• The Importance of Being Rigid: D6-Brane Model Building on T6/Z2xZ6' with Discrete Torsion
• Gauged Linear Sigma Models for toroidal orbifold resolutions
• Non-Universal Anomalies in Heterotic String Constructions
• Chiral fermions and anomaly cancellation on orbifolds with Wilson lines and flux
• Scattering and Sequestering of Blow-Up Moduli in Local String Models
• Heterotic non-Abelian orbifolds
• 6D Effective Action of Heterotic Compactification on K3 with nontrivial Gauge Bundles
• Voisin-Borcea Manifolds and Heterotic Orbifold Models
• Anomaly cancellation in effective supergravity theories from the heterotic string: two simple examples