Finite-Size Corrections of the ${\mathbb{CP}}^3$ Giant Magnons: the Lüscher terms

Abstract

We compute classical and first quantum finite-size corrections to the recently found giant magnon solutions in two different subspaces of ${\mathbb{CP}}^3$. We use the Lüscher approach on the recently proposed exact S-matrix for $\mathcal{N}=6$ superconformal Chern-Simons theory. We compare our results with the string and algebraic curve computations and find agreement, thus providing a non-trivial test for the new $Ad{S}_4/CF{T}_3$ correspondence within an integrability framework.

arXiv comment20 pages, references added, improved and extended version

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Cited by in corpus (17)

• TBA and Y-system for planar $Ad{S}_4/CF{T}_3$
• Y-system, TBA and Quasi-Classical Strings in AdS4 x CP3
• Quantum Strings and the AdS4/CFT3 Interpolating Function
• Review of AdS/CFT Integrability, Chapter III.5: Luscher corrections
• Finite-size corrections for quantum strings on AdS_4 x CP^3
• On wrapping corrections to GKP-like operators
• Full Lagrangian and Hamiltonian for quantum strings on AdS_4 x CP^3 in a near plane wave limit
• Exploring the spectrum of planar $Ad{S}_4/CF{T}_3$ at finite coupling
• Numerical results for the exact spectrum of planar AdS4/CFT3
• Strings in AdS_4 x CP^3: finite size spectrum vs. Bethe Ansatz
• Quantum finite-size effects for dyonic magnons in the AdS_4 x CP^3
• Scattering of Giant Magnons in CP^3
• Note on Integrability of Marginally Deformed ABJ(M) Theories
• Wrapping effects in supersymmetric gauge theories
• Giant Spinons
• Exact results for the low energy AdS(4)XCP(3) string theory
• Multi-Spin Strings in AdS_4*CP^3 and its β-deformation