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arxiv: 1105.2231 · v2 · pith:4JSF3X5Nnew · submitted 2011-05-11 · ✦ hep-th

Finite dimensional vertex

Andrei Mikhailov This is my paper
classification ✦ hep-th
keywords representationsfinite-dimensionalnon-unitaryunitaryvertexads5xs5althoughapplied
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The spectrum of linearized excitations of the Type IIB SUGRA on AdS5xS5 contains both unitary and non-unitary representations. Among the non-unitary, some are finite-dimensional. We explicitly construct the pure spinor vertex operators for a family of such finite-dimensional representations. The construction can also be applied to infinite-dimensional representations, including unitary, although it becomes in this case somewhat less explicit.

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  1. Supersymmetry bicomplex of pure spinor AdS background

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    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.