Uses bicomplex spectral sequences from BRST and Lie cohomology to constrain the representation of AdS supersymmetry algebra for deformations of AdS5 × S5 and clarify ghost number three zero modes.
Flat Currents in the Classical AdS_5 x S^5 Pure Spinor Superstring
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abstract
It is proven that the classical pure spinor superstring in an AdS_5 x S^5 background has a flat current depending on a continuous parameter. This generalizes the recent result of Bena, et al. for the classical Green-Schwarz superstring.
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Supersymmetry bicomplex of pure spinor AdS background
Uses bicomplex spectral sequences from BRST and Lie cohomology to constrain the representation of AdS supersymmetry algebra for deformations of AdS5 × S5 and clarify ghost number three zero modes.