Classification of flat directions in perturbative heterotic superstring vacua with anomalous U(1)

Gerald Cleaver, Mirjam Cvetič, Jose R. Espinosa, Lisa Everett, Paul Langacker

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99 Scopus citations


We develop techniques to classify D- and F-flat directions for N = 1 supersymmetric string vacua of the perturbative heterotic string theory, which possess an anomalous U(1) gauge group at the tree level. Genus-one corrections generate a Fayet-Iliopoulos term for the D-term of U(1)A, which is cancelled by non-zero vacuum expectation values (VEVs) of certain massless multiplets, in such a way that the anomalous U(1) is broken, while maintaining the D- and F-flatness of the effective field theory. A systematic analysis of flat directions is given for non-zero VEVs of non-Abelian singlets, and the techniques are illustrated for a specific model. The approach sets the stage to classify the D- and F-flat directions for a large class of perturbative string vacua. This classification is a prerequisite to systematically addressing the phenomenological consequences of these models.

Original languageEnglish (US)
Pages (from-to)3-26
Number of pages24
JournalNuclear Physics B
Issue number1-2
StatePublished - Aug 10 1998

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics


  • Anomalous U(1)
  • Flat directions
  • Superstring models


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