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

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• Complete 1-loop test of AdS/CFT
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• Finite size Giant Magnons in the string dual of N=6 superconformal Chern-Simons theory
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Cited by in corpus (43)

• Three-dimensional N=6 SCFT's and their membrane dynamics
• Quantum spinning strings in AdS_4 x CP^3: testing the Bethe Ansatz proposal
• Semiclassical Quantization of Spinning Strings in AdS_4 x CP^3
• Spinning strings at one-loop in AdS_4 x P^3
• 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
• Near BMN dynamics of the AdS(3) x S(3) x S(3) x S(1) superstring
• Exploring Pure Spinor String Theory on AdS_4 x CP^3
• TBA and Y-system for planar $Ad{S}_4/CF{T}_3$
• Comment on the Scaling Function in AdS4 x CP3
• Y-system, TBA and Quasi-Classical Strings in AdS4 x CP3
• Superspace calculation of the four-loop spectrum in N=6 supersymmetric Chern-Simons theories
• Neumann-Rosochatius integrable system for strings on AdS_4 x CP^3
• Quantum Strings and the AdS4/CFT3 Interpolating Function
• Finite size giant magnons in the SU(2) x SU(2) sector of AdS_4 x CP^3
• Generalized Dynamical Spin Chain and 4-Loop Integrability in N=6 Superconformal Chern-Simons Theory
• Dyonic Giant Magnons in CP^3: Strings and Curves at Finite J
• One-Loop Corrections to Type IIA String Theory in AdS4 x CP3
• Correlation functions of magnon and spike
• A note on dual giant gravitons in $Ad{S}_4\times {\mathbb{CP}}^3$
• On wrapping corrections to GKP-like operators
• Hydrodynamics of N=6 Superconformal Chern-Simons Theories at Strong Coupling
• Correlation function of dyonic strings
• Dressed Giant Magnons on CP^3
• Integrability of N=6 Chern-Simons Theory at Six Loops and Beyond
• Numerical results for the exact spectrum of planar AdS4/CFT3
• Strings in AdS_4 x CP^3: finite size spectrum vs. Bethe Ansatz
• Finite size effect on the magnon's correlation functions
• Lessons from giant gravitons on $Ad{S}_5\times T^{1,1}$
• Quantum finite-size effects for dyonic magnons in the AdS_4 x CP^3
• Wilson Loops in 3d QFT from D-branes in AdS(4) x CP**3
• Scattering of Giant Magnons in 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
• On the absence of reflection in AdS4/CFT3
• Correlation functions of the ABJM model
• Real and Virtual Bound States in Lüscher Corrections for CP3 Magnons
• Finite size effect from classical strings in $Ad{S}_3\times S^3$ with NS-NS flux
• Finite-size Effect for Dyonic Giant Magnons in $C{P}_{\beta }^3$
• On finite-size spiky strings in $Ad{S}_3\times S^3\times T^4$ with mixed fluxes
• Worldsheet one-loop energy correction to IIA Giant Magnon