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

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.

1+26 pages; v2: minor typos corrected, acknowledgements added

References in corpus (10)

• Green-Schwarz action for Type IIA strings on $Ad{S}_4\times C{P}^3$
• Dual Superconformal Symmetry from AdS5 x S5 Superstring Integrability
• The complete AdS(4) x CP(3) superspace for the type IIA superstring and D-branes
• The AdS4/CFT3 algebraic curve
• On T-Duality and Integrability for Strings on AdS Backgrounds
• Dual Superconformal Symmetry of N=6 Chern-Simons Theory
• On the fermionic T-duality of the AdS_4 \times CP^3 sigma-model
• On the covariance of the Dirac-Born-Infeld-Myers action
• On superembedding approach to multiple D-brane system. D0 story
• Superfield Lax formalism of supersymmetric sigma model on symmetric spaces

Cited by in corpus (10)

• Towards integrability for AdS3/CFT2
• One Loop Amplitudes In ABJM
• Classical Integrability of the Squashed Three-sphere, Warped AdS3 and Schroedinger Spacetime via T-Duality
• Two-loop cusp anomaly in ABJM at strong coupling
• One- and two-loop checks for the AdS(3) x S(3) x T(4) superstring with mixed flux
• A Requiem for $Ad{S}_4\times \mathbb{C}{P}^3$ Fermionic self-T-duality
• Condition on Ramond-Ramond fluxes for factorization of worldsheet scattering in anti-de Sitter space
• All symmetric AdS(n>2) solutions of type II supergravity
• Kaluza-Klein gauge and minimal integrable extension of OSp(4|6)/(SO(1,3) x U(3)) sigma-model
• Lagrangian mechanics of massless superparticle on AdS_4 x CP^3 superbackground