Free Differential Algebras and Pure Spinor Action in IIB Superstring Sigma Models

Abstract

In this paper we extend to the case of IIB superstring sigma models the method proposed in hep-th/10023500 to derive the pure spinor approach for type IIA sigma models. In particular, starting from the (Free) Differential Algebra and superspace parametrization of type IIB supergravity, extended to include the BRST differential and all the ghosts, we derive the BRST transformations of fields and ghosts as well as the standard pure spinor constraints for the ghosts $\lambda$ related to supersymmetry. Moreover, using the method first proposed by us, we derive the pure spinor action for type IIB superstrings in curved supergravity backgrounds (on shell), in full agreement with the action first obtained by Berkovits and Howe.

24 pages

References in corpus (8)

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Cited by in corpus (4)

• Pure spinor superfields -- an overview
• Semiclassical equivalence of Green-Schwarz and Pure-Spinor/Hybrid formulations of superstrings in AdS(5) x S(5) and AdS(2) x S(2) x T(6)
• On Semiclassical Equivalence of Green-Schwarz and Pure Spinor Strings in AdS(5) x S(5)
• Spectra of Sigma Models on Semi-Symmetric Spaces