Infinite spin limit of semiclassical string states

Abstract

Motivated by recent works of Hofman and Maldacena and Dorey we consider a special infinite spin limit of semiclassical spinning string states in AdS5 x S5. We discuss examples of known folded and circular 2-spin string solutions and demonstrate explicitly that the 1-loop superstring correction to the classical expression for the energy vanishes in the limit when one of the spins is much larger that the other. We also give a general discussion of this limit at the level of integral equations describing finite gap solutions of the string sigma model and argue that the corresponding asymptotic form of the string and gauge Bethe equations is the same.

38 pages, 3 figures; v2: comments on derivation of bound states of magnons from discrete Bethe equations added in section 4 and appendix C, references added, Imperial-TP-AT-6-4, HUTP-06/A0024

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Cited by in corpus (84)

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• Giant magnon solution and dispersion relation in string theory in AdS_3 x S^3 x T^4 with mixed flux
• Multispin Giant Magnons
• Gauge invariant finite size spectrum of the giant magnon
• A Perspective on Classical Strings from Complex Sine-Gordon Solitons
• S-matrix for magnons in the D1-D5 system
• How Accurate is the Quantum String Bethe Ansatz?
• Spinning superstrings at two loops: strong-coupling corrections to dimensions of large-twist SYM operators
• The magnon kinematics of the AdS/CFT correspondence
• Dressing the Giant Magnon II
• Finite-Size Effects for Dyonic Giant Magnons
• Finite-gap equations for strings on AdS_3 x S^3 x T^4 with mixed 3-form flux
• On reduced models for superstrings on AdS_n x S^n
• Quantum Wrapped Giant Magnon
• Magnons, Classical Strings and beta-Deformations
• Finite size effects for giant magnons on physical strings
• Comment on Strings in AdS3 x S3 x S3 x S1 at One Loop
• Quantum Strings and the AdS4/CFT3 Interpolating Function
• Giant magnons in AdS_4/CFT_3: dispersion, quantization and finite--size corrections
• The Asymptotic Spectrum of the N=4 Super Yang-Mills Spin Chain
• Spiky Strings, Giant Magnons and beta-deformations
• Three-Spin Giant Magnons in AdS_5xS^5
• Fat Magnon
• Finite size giant magnons in the SU(2) x SU(2) sector of AdS_4 x CP^3
• Three-point correlators for giant magnons
• Magnon Bound-state Scattering in Gauge and String Theory
• Finite-Size Effects for Multi-Magnon States
• Giant Magnon in NS5-brane Background
• Dyonic Giant Magnons in CP^3: Strings and Curves at Finite J
• Large Winding Sector of AdS/CFT
• Zero modes for the giant magnon
• Exact computation of one-loop correction to energy of pulsating strings in AdS_5 x S^5
• Quantum Scattering of Giant Magnons
• Giant Magnon on Deformed AdS(3)xS(3)
• Spiky Strings and Spin Chains
• On the Scattering of Magnon Boundstates
• Superspace calculation of the three-loop dilatation operator of N=4 SYM theory
• Spiky strings on AdS3 x S3 with NS-NS flux
• On the anatomy of multi-spin magnon and single spike string solutions
• Review of AdS/CFT Integrability, Chapter II.1: Classical AdS5xS5 string solutions
• Giant Magnons in AdS4 x CP3: Embeddings, Charges and a Hamiltonian
• Semiclassical Quantization of the Giant Magnon
• Neumann and Neumann-Rosochatius integrable systems from membranes on AdS_4xS^7
• Giant Magnons and Singular Curves
• Magnon-Like Dispersion Relation from M-Theory
• Aspects of Integrability in AdS/CFT Duality
• Magnon like solutions for strings in I-brane background
• Classical integrability in the BTZ black hole
• On the multi-spin magnon and spike solutions from membranes
• Bethe Ansatz solutions for highest states in $\mathcal{N}=4$ SYM and AdS/CFT duality
• Emergent Classical Strings from Matrix Model
• Quantum finite-size effects for dyonic magnons in the AdS_4 x CP^3
• Giant Magnons and Spiky Strings on S^3 with B-field
• Giant Magnons under NS-NS and Melvin Fields
• A note on two-spin magnon-like energy-charge relations from M-theory viewpoint
• Giant magnons and spiky strings in the Schrodinger/dipole-deformed CFT correspondence
• D1-brane in beta-Deformed Background
• Multispin magnons on deformed $Ad{S}_3\times S^3$
• Near Flat Space limit of strings on AdS_4 x CP^3
• Strings on the deformed T^{1,1}: giant magnon and single spike solutions
• Stringy correlations on deformed $Ad{S}_3\times S^3$
• Open giant magnons on LLM geometries
• Spin chain from membrane and the Neumann-Rosochatius integrable system
• Spectral curve for open strings attached to the Y=0 brane
• BPS Condensates, Matrix Models and Emergent String Theory
• On the absence of reflection in AdS4/CFT3
• Multispin magnons from Spin-Matrix strings on $Ad{S}_5\times S^5$
• The AdS_5 x S^5 superstrings in the generalized light-cone gauge
• N-body Dynamics of Giant Magnons in RxS2
• Semiclassical strings in AdS(3) X S^2
• Conformal SO(2,4) Transformations for the Helical AdS String Solution
• Spiky strings in de Sitter space
• Giant Spinons
• On multi-spin classical strings with NS-NS flux
• Microscopic formulation of the S-matrix in AdS/CFT
• A note on the Near Flat Limit for strings in the Maldacena-Nunez background
• Quantum deformation of cubic string field theory
• Divergent energy strings in $Ad{S}_5\times S^5$ with three angular momenta
• Open giant magnons suspended between dual giant gravitons in $\mathcal{N}=4$ SYM
• On Rotating and Oscillating Four-Spin Strings in AdS5 X S5
• Finite-size Effect for Dyonic Giant Magnons in $C{P}_{\beta }^3$