Quantum Wrapped Giant Magnon

Abstract

Understanding the finite-size corrections to the fundamental excitations of a theory is the first step towards completely solving for the spectrum in finite volume. We compute the leading exponential correction to the quantum energy of the fundamental excitation of the light-cone gauged string in AdS(5) x S(5), which is the giant magnon solution. We present two independent ways to obtain this correction: the first approach makes use of the algebraic curve description of the giant magnon. The second relies on the purely field-theoretical Luscher formulas, which depend on the world-sheet S-matrix. We demonstrate the agreement to all orders in g/Delta of these approaches, which in particular presents a further test of the S-matrix. We comment on generalizations of this method of computation to other string configurations.

17 pages, 2 figures

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• Finite-Size Effects for Dyonic Giant Magnons
• Comment on the Scaling Function in AdS4 x CP3
• Konishi operator at intermediate coupling
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• Giant magnons in TsT-transformed AdS_5 x S^5
• Quantum Strings and the AdS4/CFT3 Interpolating Function
• Finite-size effects in the superconformal beta-deformed N=4 SYM
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• Finite Size Giant Magnon
• Review of AdS/CFT Integrability, Chapter II.4: The Spectral Curve
• Macroscopic (and Microscopic) Massless Modes
• Finite-Size Effects for Multi-Magnon States
• Interacting finite-size magnons
• Single impurity operators at critical wrapping order in the beta-deformed N=4 SYM
• Discrete Hirota dynamics for AdS/CFT
• Correlation functions of magnon and spike
• Review of AdS/CFT Integrability, Chapter III.5: Luscher corrections
• The AdS3 x S3 x S3 x S1 Hernandez-Lopez Phases: a Semiclassical Derivation
• Finite size corrections for open strings/open chains in planar AdS/CFT
• Giant Magnons in AdS4 x CP3: Embeddings, Charges and a Hamiltonian
• On Yangian and Long Representations of the Centrally Extended su(2|2) Superalgebra
• Finite-Size Corrections of the ${\mathbb{CP}}^3$ Giant Magnons: the Lüscher terms
• Structure of the string R-matrix
• Toy models for wrapping effects
• Semiclassical spectrum of a Jordanian deformation of $Ad{S}_5\times S^5$
• The Bethe Ansatz for AdS5 x S5 Bound States
• Quantum finite-size effects for dyonic magnons in the AdS_4 x CP^3
• Scattering of Giant Magnons in CP^3
• Spiky Strings in AdS(4) X CP**3 with Neveu-Schwarz Flux
• Quantum Giant Magnons
• Finite-size effects of beta-deformed AdS_5/CFT_4 at strong coupling
• Spectral curve for open strings attached to the Y=0 brane
• Non-relativistic string monodromies
• Large-Spin and Large-Winding Expansions of Giant Magnons and Single Spikes
• Superspace methods for the computation of wrapping effects in the standard and beta-deformed N=4 SYM
• Real and Virtual Bound States in Lüscher Corrections for CP3 Magnons
• Wrapping effects in supersymmetric gauge theories
• Finite-size Effect for Dyonic Giant Magnons in $C{P}_{\beta }^3$
• Large-Spin Expansions of Giant Magnons
• On finite-size spiky strings in $Ad{S}_3\times S^3\times T^4$ with mixed fluxes