Pure Spinor Superstrings on Generic type IIA Supergravity Backgrounds

Abstract

We derive the Free Differential Algebra for type IIA supergravity in 10 dimensions in the string frame. We provide all fermionic terms for all curvatures. We derive the Green-Schwarz sigma model for type IIA superstring based on the FDA construction and we check its invariance under kappa-symmetry. Finally, we derive the pure spinor sigma model and we check the BRST invariance. The present derivation has the advantage that the resulting sigma model is constructed in terms of the superfields appearing in the FDA and therefore one can directly relate a supergravity background with the corresponding sigma model. The complete explicit form of the BRST transformations is given and some new pure spinor constraints are obtained. Finally, the explicit form of the action is given.

31 pp. no figures, latex, some modifications at pag 21, a missing term in 4.51 corrected. Discussion on BRST symmetry improved

References in corpus (4)

• Pure Spinors, Free Differential Algebras, and the Supermembrane
• Free Differential Algebras, Rheonomy, and Pure Spinors
• Constrained Supermanifolds for AdS M-Theory Backgrounds
• Pure Spinors for General Backgrounds

Cited by in corpus (11)

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• Superstrings in AdS
• Superstrings on AdS_4 x CP^3 from Supergravity
• 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)
• Pure Spinor Approach to Type IIA Superstring Sigma Models and Free Differential Algebras
• Supergravities and Branes from Hilbert-Poincaré Series
• Pure Spinors for General Backgrounds
• Free Differential Algebras and Pure Spinor Action in IIB Superstring Sigma Models
• On Semiclassical Equivalence of Green-Schwarz and Pure Spinor Strings in AdS(5) x S(5)
• Spectra of Sigma Models on Semi-Symmetric Spaces
• Extended Field Theories as higher Kaluza-Klein theories