Finite size giant magnons in the SU(2) x SU(2) sector of AdS_4 x CP^3

Abstract

We use the algebraic curve and Luscher's mu-term to calculate the leading order finite size corrections to the dispersion relation of giant magnons in the SU(2) x SU(2) sector of AdS_4 x CP^3. We consider a single magnon as well as one magnon in each SU(2). In addition the algebraic curve computation is generalized to give the leading order correction for an arbitrary multi-magnon state in the SU(2) x SU(2) sector.

arXiv comment19 pages; v2, v3: references added, typos fixed

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• Giant Magnons on CP^3 by Dressing Method
• Strings in AdS_4 x CP^3: finite size spectrum vs. Bethe Ansatz
• An alternative S-matrix for N=6 Chern-Simons theory ?
• Quantum finite-size effects for dyonic magnons in the AdS_4 x CP^3
• Scattering of Giant Magnons in CP^3
• Multispin magnons on deformed $Ad{S}_3\times S^3$
• Spiky Strings in AdS(4) X CP**3 with Neveu-Schwarz Flux
• Stringy correlations on deformed $Ad{S}_3\times S^3$
• On the absence of reflection in AdS4/CFT3
• Semiclassical strings in AdS(3) X S^2
• Real and Virtual Bound States in Lüscher Corrections for CP3 Magnons
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• Worldsheet one-loop energy correction to IIA Giant Magnon