Geometric Constructions of Nongeometric String Theories

2002/08/31 by Simeon Hellerman, John McGreevy, Brook Williams · 5 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-th

paper · pdf · doi:10.1088/1126-6708/2004/01/024

published as JHEP0401:024,2004 · Explanations clarified, typos corrected, references added

arxiv created 2003/08/18 · openalex publication_date 2004/01/14 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

We advocate a framework for constructing perturbative closed string compactifications which do not have large-radius limits. The idea is to augment the class of vacua which can be described as fibrations by enlarging the monodromy group around the singular fibers to include perturbative stringy duality symmetries. As a controlled laboratory for testing this program, we study in detail six-dimensional (1,0) supersymmetric vacua arising from two-torus fibrations over a two-dimensional base. We also construct some examples of two-torus fibrations over four-dimensional bases, and comment on the extension to other fibrations.

Citations

• Supersymmetric String Solitons
• New M-theory Backgrounds with Frozen Moduli
• Consistency conditions for branes at orbifold singularities
• New phases of string theory and 6d RG fixed points via branes at orbifold singularities
• An Orientifold of Type-IIB Theory on K3
• D-branes, Quivers, and ALE Instantons

Cited by

• Fluxes, moduli fixing and MSSM-like vacua in a simple IIA orientifold
• Nongeometry, duality twists, and the worldsheet
• Doubled geometry and T-folds
• On T-folds, G-structures and supersymmetry
• Backreacted T-folds and non-geometric regions in configuration space