Non-critical pure spinor superstrings

Ido Adam*, Pietro Antonio Grassi, Luca Mazzucato, Yaron Oz, Shimon Yankielowicz

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


We construct non-critical pure spinor superstrings in two, four and six dimensions. We find explicitly the map between the RNS variables and the pure spinor ones in the linear dilaton background. The RNS variables map onto a patch of the pure spinor space and the holomorphic top form on the pure spinor space is an essential ingredient of the mapping. A basic feature of the map is the requirement of doubling the superspace, which we analyze in detail. We study the structure of the non-critical pure spinor space, which is different from the ten-dimensional one, and its quantum anomalies. We compute the pure spinor lowest lying BRST cohomology and find an agreement with the RNS spectra. The analysis is generalized to curved backgrounds and we construct as an example the non-critical pure spinor type IIA superstring on AdS4 with RR 4-form flux.

Original languageEnglish
Article number091
JournalJournal of High Energy Physics
Issue number3
StatePublished - 1 Mar 2007


  • Superspaces
  • Superstrings and heterotic strings


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