Giant magnons in AdS_4/CFT_3: dispersion, quantization and finite--size corrections

Abstract

We study giant magnon solutions in AdS4 \times CP3. We compute quantum corrections to their dispersion relation. We find out that the one--loop correction vanishes in infinite volume. This implies that the interpolating function h(λ) between strong and weak coupling regimes does not have a constant term λ^0 at strong coupling. We also compute first nonvanishing finite volume correction to the one--loop expression. When compared to the Lüsher formula, our results could provide a nontrivial check of the AdS4 \times CP3 S--matrix proposed recently in arXiv:0807.1924.

v3: some misprints corrected

References in corpus (5)

• Green-Schwarz action for Type IIA strings on $Ad{S}_4\times C{P}^3$
• The AdS4/CFT3 algebraic curve
• Complete 1-loop test of AdS/CFT
• Quantum Wrapped Giant Magnon
• Constructing the AdS/CFT dressing factor

Cited by in corpus (11)

• Three-dimensional N=6 SCFT's and their membrane dynamics
• Quantum spinning strings in AdS_4 x CP^3: testing the Bethe Ansatz proposal
• Spinning strings at one-loop in AdS_4 x P^3
• Comment on the Scaling Function in AdS4 x CP3
• Finite size giant magnons in the SU(2) x SU(2) sector of AdS_4 x CP^3
• Hydrodynamics of N=6 Superconformal Chern-Simons Theories at Strong Coupling
• Dressed Giant Magnons on CP^3
• Squashing Gravity Dual of N=6 Superconformal Chern-Simons Gauge Theory
• Spiky Strings in AdS(4) X CP**3 with Neveu-Schwarz Flux
• Zero Modes for the Boundary Giant Magnons
• Semiclassical strings in AdS(3) X S^2