AdS_4 x CP^3 superstring in the light-cone gauge

Abstract

The Type IIA superstring action on the AdS_4 x CP^3 background, obtainable by the double dimensional reduction of the AdS_4 x S^7 supermembrane, is considered in the kappa-symmetry light-cone gauge, in which the light-like directions are chosen on the D=3 Minkowski boundary of AdS_4. Such choice of the gauge condition relies on representing the AdS_4 x S^7 background isometry superalgebra osp(4|8) (and correspondingly the osp(4|6) isometry superalgebra of the AdS_4 x CP^3 background) as D=3 extended superconformal algebra. The gauge-fixed action includes contributions up to the 4th power in the fermions.

LaTeX, 18 pages. v2: comments and references added, misprints corrected; v3: corrected misprints in Eqs.(67), (85), (98); v4: missing terms in Eqs. (43) and (68) added

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Cited by in corpus (17)

• Review of AdS/CFT Integrability, Chapter IV.3: N=6 Chern-Simons and Strings on AdS4xCP3
• Analytic bootstrap and Witten diagrams for the ABJM Wilson line as defect CFT${}_1$
• Evidence for the classical integrability of the complete AdS(4) x CP(3) superstring
• Two-loop cusp anomaly in ABJM at strong coupling
• Light-cone continuous-spin field in AdS space
• Light-cone gauge Hamiltonian for AdS_4 x CP^3 superstring
• The worldsheet low-energy limit of the AdS_4 x CP^3 superstring
• Worldsheet scattering for the GKP string
• Peculiarities of String Theory on AdS(4) x CP(3)
• Stringy Membranes in AdS/CFT
• Kaluza-Klein gauge and minimal integrable extension of OSp(4|6)/(SO(1,3) x U(3)) sigma-model
• D=3 N=6 superconformal symmetry of AdS_4 x CP^3 superstring
• Lagrangian mechanics of massless superparticle on AdS_4 x CP^3 superbackground
• Quantum dispersion relations for the $Ad{S}_4\times C{P}^3$ GKP string
• On integrability of massless AdS_4 x CP^3 superparticle equations
• On regularizing the AdS superstring worldsheet
• On integrability of D0-brane equations on AdS_4 x CP^3 superbackground