2005/12/31 by Tomás L. Gómez, Tomas L. Gomez, Sergio Lukic +1 · 1 citation
Mathematics · Physics and Astronomy · #Algebraic Geometry and Number Theory #Black Holes and Theoretical Physics #Bundle #Fiber bundle #Geometry and complex manifolds #Heterotic string theory #Moduli #Moduli space #Observable #Tautological line bundle #Vector bundle #hep-th #math.AG
paper · pdf · doi:10.1007/s00220-007-0338-8
published as Commun.Math.Phys.276:1-21,2007 · 28 pages, harvmac. Exposition improved, references and one figure added, minor corrections
arxiv created 2006/01/03 · openalex publication_date 2007/09/18 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Phenomenological implications of the volume of the Calabi-Yau threefolds on the hidden and observable M-theory boundaries, together with slope stability of their corresponding vector bundles, constrain the set of Kaehler moduli which give rise to realistic compactifications of the strongly coupled heterotic string. When vector bundles are constructed using extensions, we provide simple rules to determine lower and upper bounds to the region of the Kaehler moduli space where such compactifications can exist. We show how small these regions can be, working out in full detail the case of the recently proposed Heterotic Standard Model. More explicitely, we exhibit Kaehler classes in these regions for which the visible vector bundle is stable. On the other hand, there is no polarization for which the hidden bundle is stable.