On the worldsheet theory of the type IIA AdS(4) x CP(3) superstring

Abstract

We perform a detailed study of the type IIA superstring in AdS(4) x CP(3). After introducing suitable bosonic light-cone and fermionic kappa worldsheet gauges we derive the pure boson and fermion SU(2|2) x U(1) covariant light-cone Hamiltonian up to quartic order in fields. As a first application of our derivation we calculate energy shifts for string configurations in a closed fermionic subsector and successfully match these with a set of light-cone Bethe equations. We then turn to investigate the mismatch between the degrees of freedom of scattering states and oscillatory string modes. Since only light string modes appear as fundamental Bethe roots in the scattering theory, the physical role of the remaining $4_F+4_B$ massive oscillators is rather unclear. By continuing a line of research initiated by Zarembo, we shed light on this question by calculating quantum corrections for the propagators of the bosonic massive fields. We show that, once loop corrections are incorporated, the massive coordinates dissolve in a continuum state of two light particles.

40 pages, 2 figures. v3: Minor clarifications made and reference list updated. Published version.

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Cited by in corpus (15)

• Review of AdS/CFT Integrability, Chapter IV.3: N=6 Chern-Simons and Strings on AdS4xCP3
• Classical integrability and quantum aspects of the AdS(3) x S(3) x S(3) x S(1) superstring
• Symmetries of Tree-level Scattering Amplitudes in N=6 Superconformal Chern-Simons Theory
• Near BMN dynamics of the AdS(3) x S(3) x S(3) x S(1) superstring
• String instanton in AdS(4)xCP(3)
• Y-system, TBA and Quasi-Classical Strings in AdS4 x CP3
• Comment on Strings in AdS3 x S3 x S3 x S1 at One Loop
• Quantum Strings and the AdS4/CFT3 Interpolating Function
• One-Loop Corrections to Type IIA String Theory in AdS4 x CP3
• Finite-size corrections for quantum strings on AdS_4 x CP^3
• Light-cone gauge Hamiltonian for AdS_4 x CP^3 superstring
• Classical and quantum integrability in AdS(2)/CFT(1)
• The worldsheet low-energy limit of the AdS_4 x CP^3 superstring
• Strings in AdS_4 x CP^3: finite size spectrum vs. Bethe Ansatz
• Scattering of Giant Magnons in CP^3