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Harmonic Superspace from the $AdS_5\times S^5$ Pure Spinor Formalism

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arxiv 1212.3296 v3 pith:LFGFBB7E submitted 2012-12-13 hep-th

Nathan Berkovits , Thiago Fleury (ICTP-SAIFR/IFT-UNESP , Sao Paulo) This is my paper
classification hep-th
keywords purespinorbrstcohomologyformalismharmonicoperatoroperators
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abstract

On-shell supergravity vertex operators in an $AdS_5\times S^5$ background are described in the pure spinor formalism by the zero mode cohomology of a BRST operator. After expanding the pure spinor BRST operator in terms of the $AdS_5$ radius variable, this cohomology is computed using N=4 harmonic superspace variables and explicit superfield expressions are obtained for the behavior of supergravity vertex operators near the boundary of $AdS_5$.

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Cited by 1 Pith paper

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  1. D-branes and nonlinear interactions in the $AdS$ pure spinor string

    hep-th 2026-07 conditional novelty 7.0 of 10

    Zero-field half-BPS D-branes in the AdS5×S5 pure spinor string are organized by involutions exchanging the odd Z4 grades, and boundary BRST invariance gives DBI-like consistency equations.

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