Heterotic T-folds with a small number of neutral moduli

Abstract

We discuss non-geometric supersymmetric heterotic string models in D=4, in the framework of the free fermionic construction. We perform a systematic scan of models with four a priori left-right asymmetric Z_2 projections and shifts. We analyze some 2^{20} models, identifying 18 inequivalent classes and addressing variants generated by discrete torsions. They do not contain geometrical or trivial neutral moduli, apart from the dilaton. However, we show the existence of flat directions in the form of exactly marginal deformations and identify patterns of symmetry breaking where product gauge groups, realized at level one, are broken to their diagonal at higher level. We also describe an "inverse Gepner map" from Heterotic to Type II models that could be used, in certain non geometric settings, to define "effective" topological invariants.

37 pages

References in corpus (15)

• Four-dimensional String Compactifications with D-Branes, Orientifolds and Fluxes
• Flux Compactification
• Heterotic Line Bundle Standard Models
• Moduli Stabilisation versus Chirality for MSSM like Type IIB Orientifolds
• The Atiyah Class and Complex Structure Stabilization in Heterotic Calabi-Yau Compactifications
• Classification of Heterotic Pati-Salam Models
• Spinor-Vector Duality in Heterotic SUSY Vacua
• Conformal Aspects of Spinor-Vector Duality
• D6-branes and torsion
• Spinor-Vector Duality in N=2 Heterotic String Vacua
• String instantons, fluxes and moduli stabilization
• Spinor-Vector Duality in Heterotic String Orbifolds
• (Unoriented) T-folds with few T's
• Free Fermion Orientifolds
• Non-perturbative transitions among intersecting-brane vacua

Cited by in corpus (4)

• The monodromy of T-folds and T-fects
• T-duality Twists and Asymmetric Orbifolds
• Lie algebra lattices and strings on T-folds
• Perturbative higher-derivative terms in N=6 asymmetric orbifolds