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arXiv · 1009.3498

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

Dmitri Sorokin·Linus Wulff
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Abstract

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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Dmitri Sorokin, Linus Wulff. 2010-12-20. Evidence for the classical integrability of the complete AdS(4) x CP(3) superstring. https://doi.org/10.1007/jhep11(2010)143

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