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Quantum Consistency of the Superstring in AdS₅ x S⁵ Background

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arxiv hep-th/0411170 v2 pith:N35MD4CW submitted 2004-11-18 hep-th

Quantum Consistency of the Superstring in AdS₅ x S⁵ Background

classification hep-th
keywords quantumargumentsbackgroundbrstcohomologyinvariantlevelsuperstring
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Using arguments based on BRST cohomology, the pure spinor formalism for the superstring in an AdS_5 x S^5 background is proven to be BRST invariant and conformally invariant at the quantum level to all orders in perturbation theory. Cohomology arguments are also used to prove the existence of an infinite set of non-local BRST-invariant charges at the quantum level.

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

    hep-th 2026-07 conditional novelty 7.0

    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.