Precision Spectroscopy of AdS/CFT

Abstract

We extend recent remarkable progress in the comparison of the dynamical energy spectrum of rotating closed strings in AdS_5xS^5 and the scaling weights of the corresponding non-near-BPS operators in planar N=4 supersymmetric gauge theory. On the string side the computations are feasible, using semiclassical methods, if angular momentum quantum numbers are large. This results in a prediction of gauge theory anomalous dimensions to all orders in the `t Hooft coupling lambda. On the gauge side the direct computation of these dimensions is feasible, using a recently discovered relation to integrable (super) spin chains, provided one considers the lowest order in lambda. This one-loop computation then predicts the small-tension limit of the string spectrum for all (i.e. small or large) quantum numbers. In the overlapping window of large quantum numbers and small effective string tension, the string theory and gauge theory results are found to match in a mathematically highly non-trivial fashion. In particular, we compare energies of states with (i) two large angular momenta in S^5, and (ii) one large angular momentum in AdS_5 and S^5 each, and show that the solutions are related by an analytic continuation. Finally, numerical evidence is presented on the gauge side that the agreement persists also at higher (two) loop order.

arXiv comment26 pages, 1 figure, v2: typos corrected

References in corpus (28)

• 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
• A semi-classical limit of the gauge/string correspondence
• Type IIB superstring action in AdS_5 x S^5 background
• The N=4 SYM Integrable Super Spin Chain
• The Dilatation Operator of Conformal N=4 Super Yang-Mills Theory
• Semiclassical quantization of rotating superstring in AdS_5 x S^5
• Type IIB Green-Schwarz superstring in plane wave Ramond-Ramond background
• A new maximally supersymmetric background of IIB superstring theory
• Multi-spin string solutions in AdS_5 x S^5
• Stringing Spins and Spinning Strings
• Rotating string solutions: AdS/CFT duality in non-supersymmetric sectors
• Aspects of Semiclassical Strings in AdS${}_5$
• Quantizing String Theory in AdS_5 X S^5: Beyond the pp-Wave
• A Relation Between Approaches to Integrability in Superconformal Yang-Mills Theory
• Exact anomalous dimensions of {\cal N}=4 Yang-Mills operators with large R charge
• Gauge/string duality for QCD conformal operators
• Circular Semiclassical String Solutions on AdS_5 x S_5
• Quantizing three-spin string solution in AdS_5 x S^5
• Partial non-renormalisation of the stress-tensor four-point function in N=4 SYM and AdS/CFT
• Operator Product Expansion of the Lowest Weight CPOs in N=4 SYM_4 at Strong Coupling
• Multicritical Phases of the O(n) Model on a Random Lattice
• Planetoid String Solutions in 3 + 1 Axisymmetric Spacetimes
• Semiclassical quantization of superstrings: AdS_5 x S^5 and beyond
• Anomalous dimensions in gauge theories from rotating strings in $Ad{S}_5\times S^5$
• Higher loops, integrability and the near BMN limit
• D=5 M-theory radion supermultiplet dynamics

Cited by in corpus (172)

• 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
• 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
• The su(2|3) Dynamic Spin Chain
• Planar Amplitudes in Maximally Supersymmetric Yang-Mills Theory
• A Crossing-Symmetric Phase for AdS_5 x S^5 Strings
• Spin chains and string theory
• Spinning strings in AdS_5 x S^5: new integrable system relations
• The Algebraic Curve of Classical Superstrings on AdS_5xS^5
• Planar N=4 gauge theory and the Inozemtsev long range spin chain
• Quantum corrections to the string Bethe ansatz
• Two-Loop g -> gg Splitting Amplitudes in QCD
• 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-string duality for superconformal deformations of N=4 Super Yang-Mills theory
• Logarithmic scaling in gauge/string correspondence
• Deformations of N=4 SYM and integrable spin chain models
• Spinning strings and integrable spin chains in the AdS/CFT correspondence
• Anomalous dimensions of high-spin operators beyond the leading order
• On Quantum Corrections to Spinning Strings and Bethe Equations
• Spiky strings and single trace operators in gauge theories
• 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
• Yang-Mills Duals for Semiclassical Strings
• Algebraic Curve for the SO(6) sector of AdS/CFT
• Two-loop world-sheet corrections in AdS_5 x S^5 superstring
• Small deformations of supersymmetric Wilson loops and open spin-chains
• The SU(3) spin chain sigma model and string theory
• Classical/quantum integrability in non-compact sector of AdS/CFT
• Logarithmic corrections to higher twist scaling at strong coupling from AdS/CFT
• 1/2-BPS states in M theory and defects in the dual CFTs
• Matching quantum strings to quantum spins: one-loop vs. finite-size corrections
• The Algebraic Curve of 1-loop Planar N=4 SYM
• Infinite spin limit of semiclassical string states
• On one-loop correction to energy of spinning strings in S^5
• Integrability and Transcendentality
• Complete Spectrum of Long Operators in N=4 SYM at One Loop
• Spiky strings and giant magnons on S5
• The Strong Coupling Limit of the Scaling Function from the Quantum String Bethe Ansatz
• A Generalized Scaling Function for AdS/CFT
• Yang-Mills Correlation Functions from Integrable Spin Chains
• Wrapping interactions and the genus expansion of the 2-point function of composite operators
• Quantum folded string and integrability: from finite size effects to Konishi dimension
• On the spectrum of AdS/CFT beyond supergravity
• Semiclassical strings in Sasaki-Einstein manifolds and long operators in N=1 gauge theories
• Strong-coupling expansion of cusp anomaly from quantum superstring
• Higher Impurity AdS/CFT Correspondence in the Near-BMN Limit
• Stringy sums and corrections to the quantum string Bethe ansatz
• Bethe Ansatz for a Quantum Supercoset Sigma Model
• Semiclassical Bethe Ansatz and AdS/CFT
• Single spike solutions for strings on S2 and S3
• Superconformal operators in N=4 super-Yang-Mills theory
• Tailoring Three-Point Functions and Integrability II. Weak/strong coupling match
• A Perspective on Classical Strings from Complex Sine-Gordon Solitons
• Regge Trajectories Revisited in the Gauge/String Correspondence
• Spinning superstrings at two loops: strong-coupling corrections to dimensions of large-twist SYM operators
• SL(2) spin chain and spinning strings on AdS_5xS^5
• New Integrable Structures in Large-N QCD
• Semiclassical string computation of strong-coupling corrections to dimensions of operators in Konishi multiplet
• Speeding Strings
• One-Loop QCD Spin Chain and its Spectrum
• Higher Loops Beyond the SU(2) Sector
• Integrable Open Spin Chains in Defect Conformal Field Theory
• Embedding nonlinear O(6) sigma model into N=4 super-Yang-Mills theory
• Finite size effects in ferromagnetic spin chains and quantum corrections to classical strings
• Pulsating Strings on AdS_5 x S^5
• Structure of large spin expansion of anomalous dimensions at strong coupling
• N-Impurity Superstring Spectra Near the pp-Wave Limit
• Classical Open String Integrability
• Three-spin Strings on AdS_5 x S^5 from N=4 SYM
• More on La Grande Bouffe: towards higher spin symmetry breaking in AdS
• Generalized pulsating strings
• Open Spin Chain and Open Spinning String
• Review of AdS/CFT Integrability, Chapter I.1: Spin Chains in N=4 Super Yang-Mills
• Higher Conserved Charges and Integrability for Spinning Strings in AdS_5 x S^5
• Deeper Look into Short Strings
• Supersymmetry of Tensionless Rotating Strings in AdS_5 x S^5, and Nearly-BPS Operators
• N=4 SYM to Two Loops: Compact Expressions for the Non-Compact Symmetry Algebra of the su(1,1|2) Sector
• 1/J corrections to semiclassical AdS/CFT states from quantum Landau-Lifshitz model
• Finite-Size Corrections to Anomalous Dimensions in N=4 SYM Theory
• Spinning Pulsating String Solitons in AdS_5 x S^5
• On Yangian Symmetry in Planar N=4 SYM
• Integrable Open Spin Chain in Super Yang-Mills and the Plane-wave/SYM duality
• Open Spinning Strings
• The algebra of flat currents for the string on AdS_5 x S^5 in the light-cone gauge
• Large spin expansion of semiclassical 3-point correlators in AdS_5 x S^5
• Review of AdS/CFT Integrability, Chapter II.4: The Spectral Curve
• Towards the exact dilatation operator of N=4 super Yang-Mills theory
• Semiclassical Strings on AdS_5 x S^5/Z_M and Operators in Orbifold Field Theories
• Integrable Open Spin Chains and the Doubling Trick in N = 2 SYM with Fundamental Matter
• Quantum corrections to energy of short spinning string in AdS5
• Bethe ansatz and fluctuations in SU(3) Yang-Mills operators
• Spin bit models from non-planar N=4 SYM
• The Circular, Elliptic Three Spin String from the SU(3) Spin Chain
• Spiky strings in AdS_3 x S^1 and their AdS-pp-wave limits
• Higher Loop Bethe Ansatz for Open Spin-Chains in AdS/CFT
• Large Winding Sector of AdS/CFT
• 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
• Quantum Stability for the Heisenberg Ferromagnet
• Scattering of single spikes
• Multi-spin strings on AdS(5)xT(1,1) and operators of N=1 superconformal theory
• Quasilocality of joining/splitting strings from coherent states
• Open Semiclassical Strings and Long Defect Operators in AdS/dCFT Correspondence
• Open string integrability and AdS/CFT
• Spinning and rotating strings for N=1 SYM theory and brane constructions
• Novel Explicit Multi Spin String Solitons in AdS(5)
• Dual Spikes; New Spiky String Solutions
• Spin Models and Superconformal Yang-Mills Theory
• Spin Chain for Quantum Strings
• Semiclassical strings in AdS_5 x S^5 and scalar operators in N=4 SYM theory
• Folded Three-Spin String Solutions in AdS_5 x S^5
• The SU(2) sector in AdS/CFT
• A two-loop test for the factorised S-matrix of planar N=4
• Lattice Super Yang-Mills: A Virial Approach to Operator Dimensions
• Landau-Lifshitz sigma-models, fermions and the AdS/CFT correspondence
• Precision Test of AdS/CFT in Lunin-Maldacena Background
• Generalizations of Lunin-Maldacena transformation on the $AdSsub5xSsup5$ background
• The AdS Veneziano amplitude at small curvature
• Open Spinning Strings and AdS/dCFT Duality
• Multi-spin string solutions in AdS Black Hole and confining backgrounds
• Superstring sigma models from spin chains: the SU(1,1|1) case
• Two-loop AdS_5 x S^5 superstring: testing asymptotic Bethe ansatz and finite size corrections
• Quantum folded string in S^5 and the Konishi multiplet at strong coupling
• Integrability and Higher Loops in AdS/dCFT Correspondence
• Rotating Strings with Two Unequal Spins in Lunin-Maldacena Background
• Sigma model from SU(1,1|2) spin chain
• Circular and Folded Multi-Spin Strings in Spin Chain Sigma Models
• Spiky strings in the SL(2) Bethe Ansatz
• On highest-energy state in the su(1|1) sector of N=4 super Yang-Mills theory
• Multi-Spin Giants
• A large spin limit of strings on AdS_5 x S^5 in a non-compact sector
• "Short" spinning strings and structure of quantum AdS_5 x S^5 spectrum
• Pulsating Strings With Angular Momenta
• On matrix models for anomalous dimensions of super Yang-Mills theory
• Spiky strings in Bethe Ansatz at strong coupling
• Rational three-spin string duals and non-anomalous finite size effects
• Semi-classical Strings in Sasaki-Einstein Manifolds
• N=4 Super-Yang-Mills Theory, QCD and Collider Physics
• 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
• More about "short" spinning quantum strings
• One-loop spectroscopy of semiclassically quantized strings: bosonic sector
• Spin bits at two loops
• Sugawara form for AdS superstring
• Fast spinning strings on $\eta$ deformed $Ad{S}_5\times S^5$
• Loop lessons from Wilson loops in N=4 supersymmetric Yang-Mills theory
• Strong coupling anomalous dimensions of $\mathcal{N}=4$ super Yang-Mills
• Spin chain from marginally deformed AdS_3 x S^3
• Conformal SO(2,4) Transformations for the Helical AdS String Solution
• 2D Heisenberg model from rotating membrane
• Spinning Strings on Deformed AdS_5 x T^{1,1} with NS B-field
• Elliptic String Solutions on RxS^2 and Their Pohlmeyer Reduction
• Generating Functions for Giant Graviton Bound States
• A Solvable Sector of AdS Theory
• Wrapping effects in supersymmetric gauge theories
• Semiclassical Strings on Curved Branes
• Highest states in light-cone $Ad{S}_5\times S^5$ superstring
• Fishnet four-point integrals: integrable representations and thermodynamic limits
• Quantum Strings and Bethe Equations
• Neumann-Rosochatius system for (m,n) string in $Ad{S}_3\times S^3$ with mixed flux
• Probing Non-Toric Geometry with Rotating Membranes
• Multi-Spin Strings in AdS_4*CP^3 and its β-deformation
• Analytic continuation of Bethe energies and application to the thermodynamic limit of the $SL(2,\mathbb{C})$ non-compact spin chains
• Neumann-Rosochatius system for strings on I-brane
• The SU(1|2) and SU(2|2) Sectors from Superstrings in AdS5 x S5
• Splitting of Folded Strings in AdS_4*CP^3