The MSSM spectrum from (0,2)-deformations of the heterotic standard embedding

A bstract We construct supersymmetric compactifications of E 8 × E 8 heterotic string theory which realise exactly the massless spectrum of the Minimal Supersymmetric Standard Model (MSSM) at low energies. The starting point is the standard embedding on a Calabi-Yau threefold which has Hodge numbers...

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Bibliographic Details
Published inThe journal of high energy physics Vol. 2012; no. 5
Main Authors Braun, Volker, Candelas, Philip, Davies, Rhys, Donagi, Ron
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer-Verlag 01.05.2012
Springer Nature B.V
Subjects
Classical and Quantum Gravitation
Deformation
Elementary Particles
Embedding
Grand unified theory
High energy physics
Homology
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Relativity Theory
Standard model (particle physics)
String Theory
Supersymmetry
Superstring Vacua
Superstrings and Heterotic Strings
Differential and Algebraic Geometry
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Summary:A bstract We construct supersymmetric compactifications of E 8 × E 8 heterotic string theory which realise exactly the massless spectrum of the Minimal Supersymmetric Standard Model (MSSM) at low energies. The starting point is the standard embedding on a Calabi-Yau threefold which has Hodge numbers ( h 1,1 , h 2,1 ) = (1, 4) and fundamental group , which gives an E 6 grand unified theory with three net chiral generations. The gauge sym- metry is then broken to that of the standard model by a combination of discrete Wilson lines and continuous deformation of the gauge bundle. On eight distinct branches of the moduli space, we find stable bundles with appropriate cohomology groups to give exactly the massless spectrum of the MSSM.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP05(2012)127