On the anatomy of multi-spin magnon and single spike string solutions

Abstract

We study rigid string solutions rotating in $Ad{S}_5\times S^5$ background. For particular values of the parameters of the solutions we find multispin solutions corresponding to giant magnons and single spike strings. We present an analysis of the dispersion relations in the case of three spin solutions distributed only in $S^5$ and the case of one spin in $Ad{S}_5$ and two spins in $S^5$. The possible relation of these string solutions to gauge theory operators and spin chains are briefly discussed.

45 pages, the presentation rearranged in 3 sections, results unchanged, references added, some typos corrected

References in corpus (60)

• Gauge Theory Correlators from Non-Critical String Theory
• Strings in flat space and pp waves from $\mathcal{N}=4$ Super Yang Mills
• The Bethe-Ansatz for N=4 Super Yang-Mills
• Hidden Symmetries of the AdS_5 x S^5 Superstring
• A semi-classical limit of the gauge/string correspondence
• Deforming field theories with $U(1)\times U(1)$ global symmetry and their gravity duals
• Exactly Marginal Operators and Duality in Four Dimensional N=1 Supersymmetric Gauge Theory
• Bethe Ansatz for Quantum Strings
• How Algebraic Bethe Ansatz works for integrable model
• Giant Magnons
• The AdS_5xS^5 superstring worldsheet S-matrix and crossing symmetry
• The Dilatation Operator of N=4 Super Yang-Mills Theory and Integrability
• Lax Pair for Strings in Lunin-Maldacena Background
• A Crossing-Symmetric Phase for AdS_5 x S^5 Strings
• Spin chains and string theory
• Spinning strings in AdS_5 x S^5 and integrable systems
• Spinning strings in AdS_5 x S^5: new integrable system relations
• The Zamolodchikov-Faddeev Algebra for AdS_5 x S^5 Superstring
• Finite-size Effects from Giant Magnons
• Large spin limit of AdS_5 x S^5 string theory and low energy expansion of ferromagnetic spin chains
• Gauge-string duality for superconformal deformations of N=4 Super Yang-Mills theory
• Beauty and the Twist: The Bethe Ansatz for Twisted N=4 SYM
• Spinning strings and AdS/CFT duality
• The Analytic Bethe Ansatz for a Chain with Centrally Extended su(2|2) Symmetry
• Spinning strings and integrable spin chains in the AdS/CFT correspondence
• On AdS_5 x S^5 String S-matrix
• Magnon Bound States and the AdS/CFT Correspondence
• Spiky strings and single trace operators in gauge theories
• Planar N=4 Gauge Theory and the Hubbard Model
• Dyonic Giant Magnons
• Large spin limits of AdS/CFT and generalized Landau-Lifshitz equations
• The SU(3) spin chain sigma model and string theory
• Gauge-string duality for (non)supersymmetric deformations of N=4 Super Yang-Mills theory
• Infinite spin limit of semiclassical string states
• Connecting giant magnons to the pp-wave: An interpolating limit of $Ad{S}_5\times S^5$
• Spiky strings and giant magnons on S5
• All loop BMN state energies from matrices
• Dressing the Giant Magnon
• Single spike solutions for strings on S2 and S3
• Multispin Giant Magnons
• Dressing the Giant Magnon II
• Magnons, Classical Strings and beta-Deformations
• A note on spin chain/string duality
• Super spin chain coherent state actions and $Ad{S}_5\times S^5$ superstring
• Spiky Strings, Giant Magnons and beta-deformations
• Three-Spin Giant Magnons in AdS_5xS^5
• Integrable twists in AdS/CFT
• Semiclassical strings in Lunin-Maldacena background
• Giant Magnon in NS5-brane Background
• Wound and Rotating Strings in AdS_5 x S^5
• Precision Test of AdS/CFT in Lunin-Maldacena Background
• Slow-string limit and "antiferromagnetic" state in AdS/CFT
• Magnon-Like Dispersion Relation from M-Theory
• Rotating Strings with Two Unequal Spins in Lunin-Maldacena Background
• On the multi-spin magnon and spike solutions from membranes
• Kinky Strings in AdS_5 x S^5
• The Anatomy of Gauge/String Duality in Lunin-Maldacena Background
• A note on two-spin magnon-like energy-charge relations from M-theory viewpoint
• A review of integrable deformations in AdS/CFT
• Strong coupling from the Hubbard model

Cited by in corpus (18)

• Single spike solutions for strings on S2 and S3
• Neumann-Rosochatius integrable system for strings on AdS_4 x CP^3
• A note on the reduction of the AdS4 x CP3 string sigma model
• Correlation function of dyonic strings
• Oscillating Strings and Non-Abelian T-dual Klebanov-Witten Background
• On the pulsating strings in AdS_5 x T^{1,1}
• On the pulsating strings in AdS_4 x CP3
• Giant Magnons and Spiky Strings on S^3 with B-field
• Near Flat Space limit of strings on AdS_4 x CP^3
• Spiky Strings in AdS(4) X CP**3 with Neveu-Schwarz Flux
• Spiky Strings on I-brane
• Strings on the deformed T^{1,1}: giant magnon and single spike solutions
• Rotating Strings in AdS(4) X CP(3) with B-NS holonomy
• Close to the Giant Magnons
• Three Spin Spiky Strings in beta-deformed Background
• Divergent energy strings in $Ad{S}_5\times S^5$ with three angular momenta
• A note on the Near Flat Limit for strings in the Maldacena-Nunez background
• Classical strings in $Ad{S}_4\times {\mathbb{CP}}^3$ with three angular momenta