Compactification of the heterotic pure spinor superstring i

Osvaldo Chandía, William D. Linch, Brenno Carlini Vallilo

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3 Scopus citations


In this paper we begin the study of compactifications of the pure spinor formalism for superstrings. As a first example of such a process we study the case of the heterotic string in a Calabi-Yau background. We explicitly construct a BRST operator imposing N = 1 four-dimensional supersymmetry and show that nilpotence implies Kähler and Ricci-flatness conditions. The massless spectrum is computed using this BRST operator and it agrees with the expected result.

Original languageEnglish
Article number060
JournalJournal of High Energy Physics
Issue number10
StatePublished - 2009
Externally publishedYes


  • Superstring vacua
  • Superstrings and heterotic strings


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