2009/11/19 by Andrei Micu
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Computer science #Constraint (computer-aided design) #Cosmology and Gravitation Theories #Embedding #Geometry #Heterotic string theory #Mathematical physics #Mathematics #Minkowski space #Moduli #Moduli space #Physics #Pure mathematics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #String (physics) #Theoretical physics #hep-th
paper · pdf · doi:10.1007/jhep01(2010)011
published as JHEP 1001:011,2010 · 20 pages, LaTeX; references added
arxiv created 2009/11/19 · openalex publication_date 2010/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
In this note we analyse the issue of moduli stabilisation in 4d models obtained from heterotic string compactifications on manifolds with SU(3) structure with standard embedding. In order to deal with tractable models we first integrate out the massive fields. We argue that one can not only integrate out the moduli fields, but along the way one has to truncate also the corresponding matter fields. We show that the effective models obtained in this way do not have satisfactory solutions. We also look for stabilised vacua which take into account the presence of the matter fields. We argue that this also fails due to a no-go theorem for Minkowski vacua in the moduli sector which we prove in the end. The main ingredient for this no-go theorem is the constraint on the fluxes which comes from the Bianchi identity.