2013/04/09 by Lara B. Anderson, Anderson, Lara B., James Gray +5
Mathematics · Physics and Astronomy · #Algebraic Geometry and Number Theory #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Noncommutative and Quantum Gravity Theories #Quantum Chromodynamics and Particle Interactions
paper · pdf · doi:10.48550/arxiv.1304.2704
openalex publication_date 2013/04/09 · openalex created_date 2022/10/03 · openalex updated_date 2026/07/28
We discuss the use of gauge fields to stabilize complex structure moduli in\nCalabi-Yau three-fold compactifications of heterotic string and M-theory. The\nrequirement that the gauge fields in such models preserve supersymmetry leads\nto a complicated landscape of vacua in complex structure moduli space. We\ndevelop methods to systematically map out this multi-branched vacuum space, in\na computable and explicit manner. In analyzing the resulting vacua, it is found\nthat the associated Calabi-Yau three-folds are sometimes stabilized at a value\nof complex structure resulting in a singular compactification manifold. We\ndescribe how it is possible to resolve these singularities, in some cases,\nwhile maintaining computational control over the moduli stabilization\nmechanism. The discussion is illustrated throughout the paper with explicit\nworked examples.\n