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Pure Spinors in AdS and Lie Algebra Cohomology

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Abstract

We show that the BRST cohomology of the massless sector of the Type IIB superstring on AdS5 × S 5 can be described as the relative cohomology of an infinite-dimensional Lie superalgebra. We explain how the vertex operators of ghost number 1, which correspond to conserved currents, are described in this language. We also give some algebraic description of the ghost number 2 vertices, which appears to be new. We use this algebraic description to clarify the structure of the zero mode sector of the ghost number two states in flat space, and initiate the study of the vertices of the higher ghost number.

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  1. Instituto de Física Teórica, Universidade Estadual Paulista, R. Dr. Bento Teobaldo Ferraz 271, Bloco II-Barra Funda, São Paulo, CEP 01140-070, Brazil

    Andrei Mikhailov

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  1. Andrei Mikhailov
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Mikhailov, A. Pure Spinors in AdS and Lie Algebra Cohomology. Lett Math Phys 104, 1201–1233 (2014). https://doi.org/10.1007/s11005-014-0705-2

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