Spiky strings and giant magnons on S5

Abstract

Recently, classical solutions for strings moving in AdS5 x S5 have played an important role in understanding the AdS/CFT correspondence. A large set of them were shown to follow from an ansatz that reduces the solution of the string equations of motion to the study of a well-known integrable 1-d system known as the Neumann-Rosochatius (NR) system. However, other simple solutions such as spiky strings or giant magnons in S5 were not included in the NR ansatz. We show that, when considered in the conformal gauge, these solutions can be also accomodated by a version of the NR-system. This allows us to describe in detail a giant magnon solution with two additional angular momenta and show that it can be interpreted as a superposition of two magnons moving with the same speed. In addition, we consider the spin chain side and describe the corresponding state as that of two bound states in the infinite SU(3) spin chain. We construct the Bethe ansatz wave function for such bound state.

33 pages, LaTeX, 2 figures. v2: minor corrections, v3: minor corrections, figures enlarged

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Cited by in corpus (80)

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• Connecting giant magnons to the pp-wave: An interpolating limit of $Ad{S}_5\times S^5$
• Generating AdS String Solutions
• Single spike solutions for strings on S2 and S3
• Gauge invariant finite size spectrum of the giant magnon
• A Perspective on Classical Strings from Complex Sine-Gordon Solitons
• Dressing the Giant Magnon II
• Neumann-Rosochatius integrable system for strings on AdS_4 x CP^3
• Spiky strings, light-like Wilson loops and pp-wave anomaly
• Deformed Neumann model from spinning strings on (AdS_5 x S^5)_η
• Spiky Strings, Giant Magnons and beta-deformations
• Three-Spin Giant Magnons in AdS_5xS^5
• Fat Magnon
• On the Rotating and Oscillating strings in $(Ad{S}_3\times S^3{)}_{\varkappa }$
• Three-point correlators for giant magnons
• Three-point Correlation functions of Giant magnons with finite size
• Magnon Bound-state Scattering in Gauge and String Theory
• Large Winding Sector of AdS/CFT
• Spiky strings in AdS_3 x S^1 and their AdS-pp-wave limits
• Exact computation of one-loop correction to energy of pulsating strings in AdS_5 x S^5
• Correlation functions of magnon and spike
• Zero modes for the giant magnon
• On the anatomy of multi-spin magnon and single spike string solutions
• Giant magnons and spiky strings on the conifold
• Neumann and Neumann-Rosochatius integrable systems from membranes on AdS_4xS^7
• Correlation function of dyonic strings
• Finite-size Effect of the Dyonic Giant Magnons in N=6 super Chern-Simons Theory
• Three-point Correlation Function of Giant Magnons in the Lunin-Maldacena background
• Magnon like solutions for strings in I-brane background
• More three-point correlators of giant magnons with finite size
• New open string solutions in AdS_5
• Finite-Size Dyonic Giant Magnons in TsT-transformed $Ad{S}_5\times S^5$
• On the multi-spin magnon and spike solutions from membranes
• Pulsating Strings With Angular Momenta
• Double-helix Wilson loops: case of two angular momenta
• Bethe Ansatz solutions for highest states in $\mathcal{N}=4$ SYM and AdS/CFT duality
• Spiky Strings on NS5-branes
• Emergent Classical Strings from Matrix Model
• Three-point correlators: finite-size giant magnons and singlet scalar operators on higher string levels
• Giant Magnons under NS-NS and Melvin Fields
• On the pulsating strings in AdS_4 x CP3
• Multispin magnons on deformed $Ad{S}_3\times S^3$
• Spiky Strings on I-brane
• D1-brane in beta-Deformed Background
• Near Flat Space limit of strings on AdS_4 x CP^3
• Spiky Strings in AdS(4) X CP**3 with Neveu-Schwarz Flux
• Giant magnons and spiky strings in the Schrodinger/dipole-deformed CFT correspondence
• Stringy correlations on deformed $Ad{S}_3\times S^3$
• Spin chain from membrane and the Neumann-Rosochatius integrable system
• Strings on the deformed T^{1,1}: giant magnon and single spike solutions
• BPS Condensates, Matrix Models and Emergent String Theory
• Rotating Strings in AdS(4) X CP(3) with B-NS holonomy
• Nonrelativistic giant magnons from Newton Cartan strings
• Semiclassical strings in AdS(3) X S^2
• Conformal SO(2,4) Transformations for the Helical AdS String Solution
• Dressed Elliptic String Solutions on RxS^2
• Stability Analysis of Classical String Solutions and the Dressing Method
• Salient Features of Dressed Elliptic String Solutions on $\mathbb{R}\times$S${}^2$
• Spiky strings in de Sitter space
• Elliptic String Solutions on RxS^2 and Their Pohlmeyer Reduction
• Leading finite-size effects on some three-point correlators in AdS_5 x S^5
• Some three-point correlation functions in the eta-deformed AdS_5 x S^5
• Three Spin Spiky Strings in beta-deformed Background
• Semiclassical Strings on Curved Branes
• Excited States of Open Strings From $\mathcal{N}=4$ SYM
• Integrable systems from membranes on AdS_4 x S^7
• Neumann-Rosochatius system for strings in ABJ Model
• A note on the Near Flat Limit for strings in the Maldacena-Nunez background
• Neumann-Rosochatius system for (m,n) string in $Ad{S}_3\times S^3$ with mixed flux
• Leading finite-size effects on some three-point correlators in TsT-deformed AdS_5 x S^5
• Divergent energy strings in $Ad{S}_5\times S^5$ with three angular momenta
• On Rotating and Oscillating Four-Spin Strings in AdS5 X S5
• $N$-spike string in $Ad{S}_3\times S^1$ with mixed flux
• Mass and spin for classical strings in $d{S}_3$
• Rotating and Orbiting Strings in Dp-brane background
• Finite Size Effect from Classical Strings in deformed AdS${}_3\times$ S${}^3$
• Neumann-Rosochatius system for strings on I-brane
• Neumann-Rosochatius system for rotating strings in $Ad{S}_3\times S^3\times S^3\times S^1$ with flux
• Classical strings in $Ad{S}_4\times {\mathbb{CP}}^3$ with three angular momenta
• Note About String with Euclidean World-Sheet in AdS(5)xS(5)