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.
Notes on beta-deformations of the pure spinor superstring in AdS(5) x S(5)
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abstract
We study the properties of the vertex operator for the beta-deformation of the superstring in AdS(5) x S(5) in the pure spinor formalism. We discuss the action of supersymmetry on the infinitesimal beta-deformation, the application of the homological perturbation theory, and the relation between the worldsheet description and the spacetime supergravity description.
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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.