Abstract
We construct a zero-curvature Lax connection in a sub-sector of the superstring theory on AdS 4 × CP 3 which is not described by the OSp(6|4)/U(3) × 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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ArXiv ePrint: 1009.3498
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Sorokin, D., Wulff, L. Evidence for the classical integrability of the complete AdS 4 × CP 3 superstring. J. High Energ. Phys. 2010, 143 (2010). https://doi.org/10.1007/JHEP11(2010)143
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DOI: https://doi.org/10.1007/JHEP11(2010)143