Spinning strings in AdS_5 x S^5: new integrable system relations

Abstract

A general class of rotating closed string solutions in AdS_5 x S^5 is shown to be described by a Neumann-Rosochatius one-dimensional integrable system. The latter represents an oscillator on a sphere or a hyperboloid with an additional ``centrifugal'' potential. We expect that the reduction of the AdS_5 x S^5 sigma model to the Neumann-Rosochatius system should have further generalizations and should be useful for uncovering new relations between integrable structures on the two sides of the AdS/CFT duality. We find, in particular, new circular rotating string solutions with two AdS_5 and three S^5 spins. As in other recently discussed examples, the leading large-spin correction to the classical energy turns out to be proportional to the square of the string tension or the 't Hooft coupling λ, suggesting that it can be matched onto the one-loop anomalous dimensions of the corresponding ``long'' operators on the SYM side of the AdS/CFT duality.

Latex, 33 pages; v2: few minor misprints corrected

References in corpus (10)

• Spinning strings in AdS_5 x S^5 and integrable systems
• A Relation Between Approaches to Integrability in Superconformal Yang-Mills Theory
• Matching Higher Conserved Charges for Strings and Spins
• Precision Spectroscopy of AdS/CFT
• Yang-Mills Duals for Semiclassical Strings
• On the Integrability of large N Plane-Wave Matrix Theory
• Non-local charges on AdS_5 x S^5 and PP-waves
• Spinning Pulsating String Solitons in AdS_5 x S^5
• On the Classical String Solutions and String/Field Theory Duality
• On the Classical String Solutions and String/Field Theory Duality II

Cited by in corpus (237)

• Long-Range PSU(2,2|4) Bethe Ansaetze for Gauge Theory and Strings
• Bethe Ansatz for Quantum Strings
• Classical/quantum integrability in AdS/CFT
• A Novel Long Range Spin Chain and Planar N=4 Super Yang-Mills
• The Factorized S-Matrix of CFT/AdS
• The AdS_5xS^5 superstring worldsheet S-matrix and crossing symmetry
• Foundations of the AdS_5 x S^5 Superstring. Part I
• The Dilatation Operator of N=4 Super Yang-Mills Theory and Integrability
• Lax Pair for Strings in Lunin-Maldacena Background
• Spin chains and string theory
• Wrapping interactions and a new source of corrections to the spin-chain/string duality
• The Algebraic Curve of Classical Superstrings on AdS_5xS^5
• Finite-size Effects from Giant Magnons
• Planar N=4 gauge theory and the Inozemtsev long range spin chain
• 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
• Integrable Hamiltonian for Classical Strings on AdS_5 x S^5
• Spinning strings and AdS/CFT duality
• Dressing and Wrapping
• On AdS_5 x S^5 String S-matrix
• Deformations of N=4 SYM and integrable spin chain models
• Spinning strings and integrable spin chains in the AdS/CFT correspondence
• On Quantum Corrections to Spinning Strings and Bethe Equations
• Integrability in QCD and beyond
• Semiclassical relativistic strings in S^5 and long coherent operators in N=4 SYM theory
• Large spin limits of AdS/CFT and generalized Landau-Lifshitz equations
• Algebraic Curve for the SO(6) sector of AdS/CFT
• Two-loop world-sheet corrections in AdS_5 x S^5 superstring
• The SU(3) spin chain sigma model and string theory
• Classical/quantum integrability in non-compact sector of AdS/CFT
• Uniform Light-Cone Gauge for Strings in AdS_5 x S^5: Solving su(1|1) Sector
• Integrable open spin chains from giant gravitons
• On Integrability of Classical SuperStrings in AdS_5 x S^5
• Logarithmic corrections to higher twist scaling at strong coupling from AdS/CFT
• Quantum spinning strings in AdS_4 x CP^3: testing the Bethe Ansatz proposal
• Green-Schwarz Strings in TsT-transformed backgrounds
• Gauge-string duality for (non)supersymmetric deformations of N=4 Super Yang-Mills theory
• The AdS5xS5 Superstring in Light-Cone Gauge and its Bethe Equations
• Matching quantum strings to quantum spins: one-loop vs. finite-size corrections
• Giant magnon solution and dispersion relation in string theory in AdS_3 x S^3 x T^4 with mixed flux
• The Algebraic Curve of 1-loop Planar N=4 SYM
• On the Hopf algebra structure of the AdS/CFT S-matrix
• Strong-coupling expansion of cusp anomaly and gluon amplitudes from quantum open strings in AdS_5 x S^5
• Infinite spin limit of semiclassical string states
• On one-loop correction to energy of spinning strings in S^5
• On correlation functions of operators dual to classical spinning string states
• Spiky strings and giant magnons on S5
• A three-loop test of the dilatation operator in N=4 SYM
• Quantum corrections to spinning strings in AdS(5)xS(5) and Bethe ansatz: a comparative study
• Complete 1-loop test of AdS/CFT
• On the integrability of Wilson loops in AdS_5 x S^5: Some periodic ansatze
• Yang-Mills Correlation Functions from Integrable Spin Chains
• Towards integrability for AdS3/CFT2
• A Universality Test of the Quantum String Bethe Ansatz
• Wrapping interactions and the genus expansion of the 2-point function of composite operators
• The Bethe ansatz approach for factorizable centrally extended S-matrices
• Semiclassical strings in Sasaki-Einstein manifolds and long operators in N=1 gauge theories
• Stringy sums and corrections to the quantum string Bethe ansatz
• Quantum strings in AdS_5 x S^5: strong-coupling corrections to dimension of Konishi operator
• Single spike solutions for strings on S2 and S3
• Multispin Giant Magnons
• Superconformal operators in N=4 super-Yang-Mills theory
• On spin chains and field theories
• Regge Trajectories Revisited in the Gauge/String Correspondence
• How Accurate is the Quantum String Bethe Ansatz?
• New Integrable System of 2dim Fermions from Strings on AdS_5 x S^5
• Wilson Loop, Regge Trajectory and Hadron Masses in a Yang-Mills Theory from Semiclassical Strings
• Integrable spin chain for stringy Wess-Zumino-Witten models
• The AdS(5)xS(5) superstring quantum spectrum from the algebraic curve
• Y-system and Quasi-Classical Strings
• Finite-gap equations for strings on AdS_3 x S^3 x T^4 with mixed 3-form flux
• Semiclassical string computation of strong-coupling corrections to dimensions of operators in Konishi multiplet
• Higher Loops Beyond the SU(2) Sector
• On reduced models for superstrings on AdS_n x S^n
• Constructing the AdS/CFT dressing factor
• On (non)integrability of classical strings in p-brane backgrounds
• Finite size effects in ferromagnetic spin chains and quantum corrections to classical strings
• On Drinfeld's second realization of the AdS/CFT su(2|2) Yangian
• Pulsating Strings on AdS_5 x S^5
• Neumann-Rosochatius integrable system for strings on AdS_4 x CP^3
• Generalized pulsating strings
• A new coordinate system for q-deformed AdS_5 x S^5 and classical string solutions
• Spin chain sigma models with fermions
• Giant magnons in TsT-transformed AdS_5 x S^5
• Classical r-matrix of the su(2|2) SYM spin-chain
• Higher Conserved Charges and Integrability for Spinning Strings in AdS_5 x S^5
• 1/J corrections to semiclassical AdS/CFT states from quantum Landau-Lifshitz model
• Finite-Size Corrections to Anomalous Dimensions in N=4 SYM Theory
• Open Spinning Strings
• Massless Lüscher Terms and the Limitations of the AdS3 Asymptotic Bethe Ansatz
• Super spin chain coherent state actions and $Ad{S}_5\times S^5$ superstring
• Large spin expansion of semiclassical 3-point correlators in AdS_5 x S^5
• A light-cone approach to three-point functions in AdS_5 x S^5
• Semiclassical Strings on AdS_5 x S^5/Z_M and Operators in Orbifold Field Theories
• Semiclassical spinning strings and confining gauge theories
• A Yangian Double for the AdS/CFT Classical r-matrix
• Correlators of Vertex Operators for Circular Strings with Winding Numbers in AdS5xS5
• Spinning strings in AdS_3 x S^3 with NS-NS flux
• Fat Magnon
• Three-Spin Giant Magnons in AdS_5xS^5
• Integrable Open Spin Chains and the Doubling Trick in N = 2 SYM with Fundamental Matter
• Semiclassical strings in Lunin-Maldacena background
• 1/J^2 corrections to BMN energies from the quantum long range Landau-Lifshitz model
• Linking Backlund and Monodromy Charges for Strings on AdS_5 x S^5
• Bethe ansatz and fluctuations in SU(3) Yang-Mills operators
• Pohlmeyer-reduced form of string theory in AdS_5 x S^5: semiclassical expansion
• Macroscopic (and Microscopic) Massless Modes
• Generalized scaling function from light-cone gauge AdS_5 x S^5 superstring
• Semiclassical circular strings in AdS_5 and "long" gauge field strength operators
• Quantum string integrability and AdS/CFT
• The Circular, Elliptic Three Spin String from the SU(3) Spin Chain
• Large Winding Sector of AdS/CFT
• Spiky strings in AdS_3 x S^1 and their AdS-pp-wave limits
• Quantum Stability for the Heisenberg Ferromagnet
• Wound and Rotating Strings in AdS_5 x S^5
• Exact computation of one-loop correction to energy of pulsating strings in AdS_5 x S^5
• Open Semiclassical Strings and Long Defect Operators in AdS/dCFT Correspondence
• Multi-spin strings on AdS(5)xT(1,1) and operators of N=1 superconformal theory
• Integrable Spin Chains with U(1)^3 symmetry and generalized Lunin-Maldacena backgrounds
• Elliptic solutions in the Neumann-Rosochatius system with mixed flux
• Finite-size effects of Membranes on AdS_4 x S_7
• Improved Stability for Pulsating Multi-Spin String Solitons
• Semiclassical strings in AdS_5 x S^5 and scalar operators in N=4 SYM theory
• Dual Spikes; New Spiky String Solutions
• The SU(2) sector in AdS/CFT
• Notes on fast moving strings
• Bethe Ansatz Equations for General Orbifolds of N=4 SYM
• Landau-Lifshitz sigma-models, fermions and the AdS/CFT correspondence
• On the anatomy of multi-spin magnon and single spike string solutions
• Generalizations of Lunin-Maldacena transformation on the $AdSsub5xSsup5$ background
• Precision Test of AdS/CFT in Lunin-Maldacena Background
• Slow-string limit and "antiferromagnetic" state in AdS/CFT
• Open Spinning Strings and AdS/dCFT Duality
• Multi-spin string solutions in AdS Black Hole and confining backgrounds
• A note on oscillating strings in $Ad{S}_3\times S^3$ with mixed three-form fluxes
• Review of AdS/CFT Integrability, Chapter II.1: Classical AdS5xS5 string solutions
• The AdS Veneziano amplitude at small curvature
• Semiclassical Quantization of the Giant Magnon
• Neumann and Neumann-Rosochatius integrable systems from membranes on AdS_4xS^7
• Integrable Rosochatius deformations of higher-order constrained flows and the soliton hierarchy with self-consistent sources
• Semiclassical Strings, Dipole Deformations of N=1 SYM and Decoupling of KK Modes
• Semiclassical String Solutions on 1/2 BPS Geometries
• Finite-size Effect of the Dyonic Giant Magnons in N=6 super Chern-Simons Theory
• Spinning strings in the $\eta$-deformed Neumann-Rosochatius system
• Pulsating strings on $(Ad{S}_3\times S^3{)}_{\varkappa }$
• Semiclassical string spectrum in a string model dual to large N QCD
• New integrable coset sigma models
• Integrability of the eta-deformed Neumann-Rosochatius model
• Sigma models with local couplings: a new integrability -- RG flow connection
• Rotating Strings with Two Unequal Spins in Lunin-Maldacena Background
• Integrability and Higher Loops in AdS/dCFT Correspondence
• Magnon-Like Dispersion Relation from M-Theory
• Three-point correlation functions from semiclassical circular strings
• Oscillating Strings and Non-Abelian T-dual Klebanov-Witten Background
• Circular and Folded Multi-Spin Strings in Spin Chain Sigma Models
• Phase transitions in Wilson loop correlator from integrability in global AdS
• Multi-Spin Giants
• Classical string solutions in Non-Relativistic AdS${}_5\times$S${}^5$: Closed and Twisted sectors
• Aspects of Integrability in AdS/CFT Duality
• Pulsating strings with mixed three-form flux
• Classical Integrability and Super Yangian of Superstring on AdS_5 x S^5
• On matrix models for anomalous dimensions of super Yang-Mills theory
• On the Fermionic Frequencies of Circular Strings
• On circular strings in $(Ad{S}_3\times S^3{)}_{\varkappa }$
• Review of AdS/CFT Integrability, Chapter II.2: Quantum Strings in AdS5xS5
• Non-perturbative states in type II superstring theory from classical spinning membranes
• "Short" spinning strings and structure of quantum AdS_5 x S^5 spectrum
• Pulsating Strings With Angular Momenta
• Semiclassical dynamics for torsional Newton-Cartan strings
• Rational three-spin string duals and non-anomalous finite size effects
• Structure of the string R-matrix
• Semiclassical rigid strings with two spins in AdS_5
• More on supersymmetric tensionless rotating strings in AdS_5 x S^5
• Algebraic Curves for Long Folded and Circular Winding Strings in AdS5xS5
• Integrable strings for AdS/CFT
• Higher-spin conserved currents in supersymmetric sigma models on symmetric spaces
• Finite-size corrections to the rotating string and the winding state
• Double-helix Wilson loops: case of two angular momenta
• Bethe Ansatz solutions for highest states in $\mathcal{N}=4$ SYM and AdS/CFT duality
• The Anatomy of Gauge/String Duality in Lunin-Maldacena Background
• Kinky Strings in AdS_5 x S^5
• Semiclassical Strings in Electric and Magnetic Fields Deformed $Ad{S}_5\times S^5$ Spacetimes
• Pure Spinor Strings in TsT Deformed Background
• On string integrability. A journey through the two-dimensional hidden symmetries in the AdS/CFT dualities
• On semiclassical calculation of three-point functions in AdS_5 \times T^(1,1)
• Decoding the Spin-Matrix limit of strings on $Ad{S}_5\times S^5$
• Multi-spin String Solutions in Magnetic-flux Deformed $Ad{S}_n\times S^m$ Spacetime
• Nonlocal charges of T-dual strings
• Spin bits at two loops
• One-loop corrections to AdS_5 x S^5 superstring partition function via Pohlmeyer reduction
• One-loop quantization of rigid spinning strings in $Ad{S}_3\times S^3\times T^4$ with mixed flux
• Quantum fluctuations of rotating strings in AdS_5 x S^5
• Spin chain from membrane and the Neumann-Rosochatius integrable system
• Reflection matrices for the $U_q[sl(m|n{)}^{(1)}]$ vertex model
• Three-Point Correlator of Heavy Vertex Operators for Circular Winding Strings in AdS5xS5
• Gauge Theories as String Theories: the First Results
• Extremal Correlator of Three Vertex Operators for Circular Winding Strings in AdS5xS5
• Quantum Landau-Lifshitz model at four loops: 1/J and 1/J^2 corrections to BMN energies
• Two-loop corrections to partition function of Pohlmeyer-reduced theory for AdS_5 x S^5 superstring
• Fast spinning strings on $\eta$ deformed $Ad{S}_5\times S^5$
• Isometry Group Orbit Quantization of Spinning Strings in AdS_3 x S^3
• Stringy Membranes in AdS/CFT
• Quasiclassical Geometry and Integrability of AdS/CFT Correspondence
• Close to the Giant Magnons
• Spinning Strings on Deformed AdS_5 x T^{1,1} with NS B-field
• Nonforward anomalous dimensions of Wilson operators in N=4 super-Yang-Mills theory
• Spinning String and Giant Graviton in Electric/Magnetic Field Deformed $Ad{S}_3\times S^3\times T^4$
• Spiky strings in de Sitter space
• Elliptic String Solutions on RxS^2 and Their Pohlmeyer Reduction
• Nonrelativistic strings on $R\times S^2$ and integrable systems
• Minimal surfaces with mixed three-form flux
• Superspace methods for the computation of wrapping effects in the standard and beta-deformed N=4 SYM
• Wrapping effects in supersymmetric gauge theories
• Nonrelativistic spinning strings
• Quantum corrections to minimal surfaces with mixed three-form flux
• Quantum Strings and Bethe Equations
• Superfield Lax formalism of supersymmetric sigma model on symmetric spaces
• Integrable systems and AdS/CFT duality
• On type 0 string theory in solvable RR backgrounds
• Neumann-Rosochatius system for (m,n) string in $Ad{S}_3\times S^3$ with mixed flux
• Neumann-Rosochatius system for strings in ABJ Model
• Tensionless supersymmetric M2 branes in $Ad{S}_4\times S^7$ and Giant Diabolo
• Spinning membranes on $Ad{S}_p\times S^q$
• Conformal Affine Toda Soliton and Moduli of IIB Superstring on $Ad{S}_5\times S^5$
• Spinning strings: $\lambda$-deformation and non-Abelian T-dual limit
• On algebraic structures in supersymmetric principal chiral model
• Pulsating strings in I-brane background
• The SU(1|2) and SU(2|2) Sectors from Superstrings in AdS5 x S5
• Logarithmic correction to scaling for multi-spin strings in the AdS_5 black hole background
• Spiky Strings with Two Spins in AdS5
• On classical string solutions in AdS_5 x S^5
• Splitting of Folded Strings in AdS_4*CP^3
• String Solutions in General Backgrounds
• Note About String with Euclidean World-Sheet in AdS(5)xS(5)
• Pulsating Strings in Deformed Backgrounds
• Circular strings in Kerr-$Ad{S}_5$ black holes
• Tunnelling of Pulsating Strings in Deformed Minkowski Spacetime