Spinning strings and AdS/CFT duality

Abstract

We review a special class of semiclassical string states in AdS_5 x S^5 which have a regular expansion of their energy in integer powers of the ratio of the square of string tension (`t Hooft coupling) and the square of large angular momentum in S^5. They allow one to quantitatively check the AdS/CFT duality in non-supersymmetric sector of states and also help to uncover the role of integrable structures on the two sides of the string theory -- gauge theory duality.

57 pages, latex. To appear in Ian Kogan Memorial Volume, ``From Fields to Strings: Circumnavigating Theoretical Physics'', M. Shifman, A. Vainshtein, and J. Wheater, eds. (World Scientific, 2004); v2: table of contents and references added; v3: minor misprints corrected

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• Large N Field Theories, String Theory and Gravity
• 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
• Type IIB superstring action in AdS_5 x S^5 background
• The N=4 SYM Integrable Super Spin Chain
• Semiclassical quantization of rotating superstring in AdS_5 x S^5
• Exactly solvable model of superstring in Ramond-Ramond plane wave background
• How Algebraic Bethe Ansatz works for integrable model
• Multi-spin string solutions in AdS_5 x S^5
• The su(2|3) Dynamic Spin Chain
• The Uses of Conformal Symmetry in QCD
• Spin chains and string theory
• Supersymmetric Gauge Theories and the AdS/CFT Correspondence
• Stringing Spins and Spinning Strings
• Spinning strings in AdS_5 x S^5: new integrable system relations
• Rotating string solutions: AdS/CFT duality in non-supersymmetric sectors
• Baryon Distribution Amplitudes in QCD
• Aspects of Semiclassical Strings in AdS${}_5$
• Green-Schwarz String in AdS_5 x S^5: Semiclassical Partition Function
• Quantizing String Theory in AdS_5 X S^5: Beyond the pp-Wave
• Large spin limit of AdS_5 x S^5 string theory and low energy expansion of ferromagnetic spin chains
• Matching Higher Conserved Charges for Strings and Spins
• Gauge Fields and Space-Time
• Exact anomalous dimensions of {\cal N}=4 Yang-Mills operators with large R charge
• Anomalous dimensions of Wilson operators in N=4 SYM theory
• Gauge/string duality for QCD conformal operators
• Circular Semiclassical String Solutions on AdS_5 x S_5
• Light-cone Superstring in AdS Space-time
• Renormalization of twist-three operators and integrable lattice models
• Yang-Mills Duals for Semiclassical Strings
• The Plane-Wave/Super Yang-Mills Duality
• Fine structure of spectrum of twist-three operators in QCD
• Lectures on the Plane-Wave String/Gauge Theory Duality
• Stringy Corrections to the Wilson Loop in N=4 Super Yang-Mills Theory
• Semi-Classical Quantization of Circular Strings in De Sitter and Anti De Sitter Spacetimes
• Planetoid String Solutions in 3 + 1 Axisymmetric Spacetimes
• Strings in the near plane wave background and AdS/CFT
• Solvable models of strings in homogeneous plane wave backgrounds
• Superconformal operators in N=4 super-Yang-Mills theory
• Separation of variables for the classical and quantum Neumann model
• Speeding Strings
• On the Integrability of large N Plane-Wave Matrix Theory
• Supersymmetry of Tensionless Rotating Strings in AdS_5 x S^5, and Nearly-BPS Operators
• Spinning Pulsating String Solitons in AdS_5 x S^5
• Integrable Spin Chain and Operator Mixing in N=1,2 Supersymmetric Theories
• Rotating Strings in Confining AdS/CFT Backgrounds
• Semi-classical string solutions for N=1 SYM
• High Energy QCD: Stringy Picture from Hidden Integrability
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Cited by in corpus (146)

• Spin chains and string theory
• The Algebraic Curve of Classical Superstrings on AdS_5xS^5
• Large spin limit of AdS_5 x S^5 string theory and low energy expansion of ferromagnetic spin chains
• Spinning strings and integrable spin chains in the AdS/CFT correspondence
• Anomalous dimensions of high-spin operators beyond the leading order
• Integrability in QCD and beyond
• Semiclassical relativistic strings in S^5 and long coherent operators in N=4 SYM theory
• Small deformations of supersymmetric Wilson loops and open spin-chains
• The SU(3) spin chain sigma model and string theory
• Integrable open spin chains from giant gravitons
• Matching quantum strings to quantum spins: one-loop vs. finite-size corrections
• On the Hopf algebra structure of the AdS/CFT S-matrix
• On one-loop correction to energy of spinning strings in S^5
• On correlation functions of operators dual to classical spinning string states
• Quantum corrections to spinning strings in AdS(5)xS(5) and Bethe ansatz: a comparative study
• All loop BMN state energies from matrices
• Massive totally symmetric fields in AdS(d)
• Three-Point Functions in N=4 SYM Theory at One-Loop
• Yang-Mills Correlation Functions from Integrable Spin Chains
• Wrapping interactions and the genus expansion of the 2-point function of composite operators
• Semiclassical strings in Sasaki-Einstein manifolds and long operators in N=1 gauge theories
• Stringy sums and corrections to the quantum string Bethe ansatz
• Bethe Ansatz for a Quantum Supercoset Sigma Model
• Quantum strings in AdS_5 x S^5: strong-coupling corrections to dimension of Konishi operator
• Multispin Giant Magnons
• A Perspective on Classical Strings from Complex Sine-Gordon Solitons
• Bethe Ansatz in Stringy Sigma Models
• Wilson Loop, Regge Trajectory and Hadron Masses in a Yang-Mills Theory from Semiclassical Strings
• SL(2) spin chain and spinning strings on AdS_5xS^5
• The Algebra of Transition Matrices for the AdS_5 x S^5 Superstring
• Dressing the Giant Magnon II
• One-loop one-point functions in gauge-gravity dualities with defects
• New Integrable Structures in Large-N QCD
• One-Loop QCD Spin Chain and its Spectrum
• Higher Loops Beyond the SU(2) Sector
• Two-dimensional S-matrices from unitarity cuts
• Resolving the Holography in the Plane-Wave Limit of AdS/CFT Correspondence
• Finite size effects in ferromagnetic spin chains and quantum corrections to classical strings
• Magnons, their Solitonic Avatars and the Pohlmeyer Reduction
• Structure of large spin expansion of anomalous dimensions at strong coupling
• Pulsating Strings on AdS_5 x S^5
• Open Spin Chain and Open Spinning String
• Generalized pulsating strings
• Quantum integrability and functional equations
• On the large R-charge $\mathcal{N}=2$ chiral correlators and the Toda equation
• Giant gravitons in AdS/CFT (I): matrix model and back reaction
• Higher Conserved Charges and Integrability for Spinning Strings in AdS_5 x S^5
• Classical r-matrix of the su(2|2) SYM spin-chain
• Spiky strings, light-like Wilson loops and pp-wave anomaly
• Quantum AdS_5 x S^5 superstring in the AdS light-cone gauge
• 1/J corrections to semiclassical AdS/CFT states from quantum Landau-Lifshitz model
• Finite-Size Corrections to Anomalous Dimensions in N=4 SYM Theory
• A Pendant for Polya: The One-Loop Partition Function of N=4 SYM on R x S^3
• From Large N Nonplanar Anomalous Dimensions to Open Spring Theory
• Open Spinning Strings
• The algebra of flat currents for the string on AdS_5 x S^5 in the light-cone gauge
• Super spin chain coherent state actions and $Ad{S}_5\times S^5$ superstring
• Supersymmetric null-surfaces
• Semiclassical spinning strings and confining gauge theories
• Slow evolution of nearly-degenerate extremal surfaces
• Spiky Strings, Giant Magnons and beta-deformations
• Integrability of two-loop dilatation operator in gauge theories
• Integrable Open Spin Chains and the Doubling Trick in N = 2 SYM with Fundamental Matter
• Semiclassical strings in Lunin-Maldacena background
• Pohlmeyer-reduced form of string theory in AdS_5 x S^5: semiclassical expansion
• The AdS(5)xS(5) Semi-Symmetric Space Sine-Gordon Theory
• Quantum string integrability and AdS/CFT
• Giant Magnon in NS5-brane Background
• One-Loop Corrections to Type IIA String Theory in AdS4 x CP3
• Higher Spins and Stringy AdS5xS5
• "Massive" Higher Spin Multiplets and Holography
• Energy-Spin Trajectories in AdS_5 x S^5 from Semiclassical Vertex Operators
• Giant Magnon on Deformed AdS(3)xS(3)
• D-branes and BCFT in Hpp-wave backgrounds
• Open Semiclassical Strings and Long Defect Operators in AdS/dCFT Correspondence
• N=2 Super Yang-Mills and the XXZ spin chain
• Improved Stability for Pulsating Multi-Spin String Solitons
• Conformal SO(2,4) Transformations of the One-Cusp Wilson Loop Surface
• Semiclassical strings in AdS_5 x S^5 and scalar operators in N=4 SYM theory
• Novel Explicit Multi Spin String Solitons in AdS(5)
• On the anatomy of multi-spin magnon and single spike string solutions
• Precision Test of AdS/CFT in Lunin-Maldacena Background
• Spiky strings on AdS3 x S3 with NS-NS flux
• Superconformal operators in Yang-Mills theories on the light-cone
• Multi-spin string solutions in AdS Black Hole and confining backgrounds
• Review of AdS/CFT Integrability, Chapter II.1: Classical AdS5xS5 string solutions
• Higher spin symmetry (breaking) in N=4 SYM theory and holography
• Semiclassical String Solutions on 1/2 BPS Geometries
• Classical and Quantum Solitons in the Symmetric Space Sine-Gordon Theories
• Magnon-Like Dispersion Relation from M-Theory
• Sigma model from SU(1,1|2) spin chain
• Phase transitions in Wilson loop correlator from integrability in global AdS
• Aspects of Integrability in AdS/CFT Duality
• Magnon like solutions for strings in I-brane background
• Classical string solutions in Non-Relativistic AdS${}_5\times$S${}^5$: Closed and Twisted sectors
• Multi-Spin Giants
• Semiclassical dynamics for torsional Newton-Cartan strings
• On matrix models for anomalous dimensions of super Yang-Mills theory
• Structure of the string R-matrix
• Semi-classical Strings in Sasaki-Einstein Manifolds
• Large N limit of SYM theories with 16 supercharges from superstrings on Dp-brane backgrounds
• Higher-spin conserved currents in supersymmetric sigma models on symmetric spaces
• Kinky Strings in AdS_5 x S^5
• New aspects of the BMN correspondence beyond the planar limit
• More Pendants for Polya: Two loops in the SU(2) sector
• The Relativistic Avatars of Giant Magnons and their S-Matrix
• On semiclassical calculation of three-point functions in AdS_5 \times T^(1,1)
• Semiclassical Strings in Electric and Magnetic Fields Deformed $Ad{S}_5\times S^5$ Spacetimes
• On S-Matrix factorization of the Landau-Lifshitz model
• On string integrability. A journey through the two-dimensional hidden symmetries in the AdS/CFT dualities
• The Structure of Non-Abelian Kinks
• Series Solution and Minimal Surfaces in AdS
• Multi-spin String Solutions in Magnetic-flux Deformed $Ad{S}_n\times S^m$ Spacetime
• Fundamental String and D1-brane in I-brane Background
• Remark about Non-BPS Dp-Brane at the Tachyon Vacuum Moving in Curved Background
• Semiclassical equivalence of Green-Schwarz and Pure-Spinor/Hybrid formulations of superstrings in AdS(5) x S(5) and AdS(2) x S(2) x T(6)
• Quantum fluctuations of rotating strings in AdS_5 x S^5
• SU(2|2) for Theories with Sixteen Supercharges at Weak and Strong Coupling
• Semiclassical strings in marginally deformed toric AdS/CFT
• Rotating Strings in Massive Type IIA Supergravity
• Quasiclassical Geometry and Integrability of AdS/CFT Correspondence
• On the non-BPS string solutions in Sasaki-Einstein gauge/gravity duality
• Matrix Models, Complex Geometry and Integrable Systems. II
• Generalized Gribov-Lipatov Reciprocity and AdS/CFT
• BRST Invariance of Non-local Charges and Monodromy Matrix of Bosonic String on AdS(5)xS(5)
• Nonforward anomalous dimensions of Wilson operators in N=4 super-Yang-Mills theory
• Reciprocity and integrability in the sl(2) sector of N=4 SYM
• Spinning strings in AdS_5 x S^5: A worldsheet perspective
• Spinning String and Giant Graviton in Electric/Magnetic Field Deformed $Ad{S}_3\times S^3\times T^4$
• Note About Redefinition of BRST Operator for Pure Spinor String in General Background
• Giant magnons and non-maximal giant gravitons
• Three Spin Spiky Strings in beta-deformed Background
• On Semiclassical Equivalence of Green-Schwarz and Pure Spinor Strings in AdS(5) x S(5)
• Strings on Plane Waves and AdS x S
• Highest states in light-cone $Ad{S}_5\times S^5$ superstring
• Spinning membranes on $Ad{S}_p\times S^q$
• Classical worldvolumes as generalised geodesics
• Spinning strings: $\lambda$-deformation and non-Abelian T-dual limit
• On Rotating and Oscillating Four-Spin Strings in AdS5 X S5
• Recent Progress in AdS/CFT
• Propagators and WKB-exactness in the plane wave limit of AdSxS
• Spiky Strings with Two Spins in AdS5
• Note About Hamiltonian Dynamics of String in Non-Relativistic D3-Brane Background
• Renormalization group flow of reduced string actions
• The SU(1|2) and SU(2|2) Sectors from Superstrings in AdS5 x S5
• Aspects of Supersymmetric Gauge Theory and String Theory