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Evidence for the classical integrability of the complete AdS(4) x CP(3) superstring

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arxiv 1009.3498 v2 pith:RPBN3UOM submitted 2010-09-17 hep-th

Dmitri Sorokin , Linus Wulff This is my paper · ORCID
classification hep-th
keywords connectionsuperstringconstructisometrysub-sectoralternativeassociatedautomorphism
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We construct a zero-curvature Lax connection in a sub-sector of the superstring theory on AdS(4) x CP(3) which is not described by the OSp(6|4)/U(3) x SO(1,3) supercoset sigma-model. In this sub-sector worldsheet fermions associated to eight broken supersymmetries of the type IIA background are physical fields. As such, the prescription for the construction of the Lax connection based on the Z_4-automorphism of the isometry superalgebra OSp(6|4) does not do the job. So, to construct the Lax connection we have used an alternative method which nevertheless relies on the isometry of the target superspace and kappa-symmetry of the Green-Schwarz superstring.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. On integrability of tri-vector deformed Type II string

    hep-th 2025-04 conditional novelty 6.0 of 10

    Poincaré sections and Lyapunov exponents for particular string embeddings survive tri-vector deformation of AdS4 times CP3, indicating possible classical integrability.

  2. String theory methods for defect CFTs

    hep-th 2025-01 conditional novelty 2.0 of 10

    A review paper that re-presents earlier results on integrable probe-brane defects and holographic defect correlators without adding a new central result.

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