Evidence for the classical integrability of the complete AdS4 × CP3 superstring

被引：0
作者：
Dmitri Sorokin
Linus Wulff
机构：
[1] Sezione di Padova,Istituto Nazionale di Fisica Nucleare
[2] Texas A &M University,George and Cynthia Woods Mitchell Institute for Fundamental Physics and Astronomy
来源：
Journal of High Energy Physics | / 2010卷
关键词：
Superstrings and Heterotic Strings; AdS-CFT Correspondence; Integrable Field Theories;
D O I：
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摘要：
We construct a zero-curvature Lax connection in a sub-sector of the superstring theory on AdS4 × CP3 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 Z4-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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