Compactification of the heterotic pure spinor superstring II

Osvaldo Chandía, William D. Linch, Brenno Carlini Vallilo

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)


We study compactifications of the heterotic pure spinor superstring to six and four dimensions focusing on two simple Calabi-Yau orbifolds. We show that the correct spectrum can be reproduced only if, in the twisted sector, there remain exactly 5 and 2 pure spinor components untwisted, respectively. This naturally defines a "small" Hilbert space of untwisted variables. We point out that the cohomology of the reduced differential on this small Hilbert space can be used to describe the states in the untwisted sector, provided certain auxiliary constraints are defined. In dimension six, the mismatch between the number of pure spinor components in the small Hilbert space and the number of components of a six-dimensional pure spinor is interpreted as providing the projective measure on the analytic subspace (in the projective description) of harmonic superspace.

Original languageEnglish
Article number098
JournalJournal of High Energy Physics
Issue number10
Publication statusPublished - 2011


  • Superstring vacua
  • Superstrings and heterotic strings

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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