Pure Spinor Approach to Type IIA Superstring Sigma Models and Free Differential Algebras

Abstract

This paper considers the Free Differential Algebra and rheonomic parametrization of type IIA Supergravity, extended to include the BRS differential and the ghosts. We consider not only the ghosts lambda's of supersymmetry but also the ghosts corresponding to gauge and Lorentz transformations. In this way we can derive not only the BRS transformations of fields and ghosts but also the standard pure spinor constraints on lambda's. Moreover the formalism allows to derive the action for the pure spinor formulation of type IIA superstrings in a general background, recovering the action first obtained by Berkovits and Howe.

1+23 pages, v2: added clarifications and a reference, misprints corrected, v3: presentation improved, results unchanged

References in corpus (7)

• The complete AdS(4) x CP(3) superspace for the type IIA superstring and D-branes
• Multiloop Superstring Amplitudes from Non-Minimal Pure Spinor Formalism
• Y-formalism and $b$ ghost in the Non-minimal Pure Spinor Formalism of Superstrings
• A Note on the Classical BRST Symmetry of the Pure Spinor String in a Curved Background
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Cited by in corpus (4)

• Pure spinor superfields -- an overview
• Taming the b antighost with Ramond-Ramond flux
• 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)
• Free Differential Algebras and Pure Spinor Action in IIB Superstring Sigma Models