Matching quantum strings to quantum spins: one-loop vs. finite-size corrections

Abstract

We compare quantum corrections to semiclassical spinning strings in AdS(5)xS(5) to one-loop anomalous dimensions in N=4 supersymmetric gauge theory. The latter are computed using the reduced (Landau-Lifshitz) sigma model and with the help of the Bethe ansatz. The results of all three approaches are in remarkable agreement with each other. As a byproduct we establish the relationship between linear instabilities in the Landau-Lifshitz model and analyticity properties of the Bethe ansatz.

23 pages. v2: references added, v3: misprints corrected and references added

References in corpus (46)

• The Bethe-Ansatz for N=4 Super Yang-Mills
• 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
• Bethe Ansatz for Quantum Strings
• Classical/quantum integrability in AdS/CFT
• A Novel Long Range Spin Chain and Planar N=4 Super Yang-Mills
• Multi-spin string solutions in AdS_5 x S^5
• The Dilatation Operator of N=4 Super Yang-Mills Theory and Integrability
• The su(2|3) Dynamic Spin Chain
• Spin chains and string theory
• Stringing Spins and Spinning Strings
• Spinning strings in AdS_5 x S^5 and integrable systems
• Spinning strings in AdS_5 x S^5: new integrable system relations
• Large $N$ Phase Transition in Continuum QCD${}_2$
• Rotating string solutions: AdS/CFT duality in non-supersymmetric sectors
• Planar N=4 gauge theory and the Inozemtsev long range spin chain
• 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
• Precision Spectroscopy of AdS/CFT
• Integrable Hamiltonian for Classical Strings on AdS_5 x S^5
• Spinning strings and AdS/CFT duality
• Quantizing three-spin string solution in AdS_5 x S^5
• Semiclassical relativistic strings in S^5 and long coherent operators in N=4 SYM theory
• Holography Beyond the Penrose Limit
• Yang-Mills Duals for Semiclassical Strings
• Algebraic Curve for the SO(6) sector of AdS/CFT
• Large spin limits of AdS/CFT and generalized Landau-Lifshitz equations
• The SU(3) spin chain sigma model and string theory
• Classical/quantum integrability in non-compact sector of AdS/CFT
• The Algebraic Curve of 1-loop Planar N=4 SYM
• On one-loop correction to energy of spinning strings in S^5
• Strings in the near plane wave background and AdS/CFT
• Semiclassical Bethe Ansatz and AdS/CFT
• Speeding Strings
• Higher Loops Beyond the SU(2) Sector
• Finite size effects in ferromagnetic spin chains and quantum corrections to classical strings
• Three-spin Strings on AdS_5 x S^5 from N=4 SYM
• Spin chain sigma models with fermions
• Finite-Size Corrections to Anomalous Dimensions in N=4 SYM Theory
• Bloch Walls and Macroscopic String States in Bethe's solution of the Heisenberg Ferromagnetic Linear Chain
• Supersymmetric null-surfaces
• Slow evolution of nearly-degenerate extremal surfaces
• Bethe ansatz and fluctuations in SU(3) Yang-Mills operators
• The Circular, Elliptic Three Spin String from the SU(3) Spin Chain
• Notes on fast moving strings

Cited by in corpus (83)

• Long-Range PSU(2,2|4) Bethe Ansaetze for Gauge Theory and Strings
• Foundations of the AdS_5 x S^5 Superstring. Part I
• A Crossing-Symmetric Phase for AdS_5 x S^5 Strings
• The Algebraic Curve of Classical Superstrings on AdS_5xS^5
• Quantum corrections to the string Bethe ansatz
• Gauge-string duality for superconformal deformations of N=4 Super Yang-Mills theory
• Universal cumulants of the current in diffusive systems on a ring
• On Quantum Corrections to Spinning Strings and Bethe Equations
• Logarithmic corrections to higher twist scaling at strong coupling from AdS/CFT
• Green-Schwarz Strings in TsT-transformed backgrounds
• Quantum spinning strings in AdS_4 x CP^3: testing the Bethe Ansatz proposal
• Complete Spectrum of Long Operators in N=4 SYM at One Loop
• The Strong Coupling Limit of the Scaling Function from the Quantum String Bethe Ansatz
• Quantum corrections to spinning strings in AdS(5)xS(5) and Bethe ansatz: a comparative study
• Complete 1-loop test of AdS/CFT
• A Universality Test of the Quantum String Bethe Ansatz
• 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
• Tailoring Three-Point Functions and Integrability III. Classical Tunneling
• Bethe Ansatz for a Quantum Supercoset Sigma Model
• Gauge invariant finite size spectrum of the giant magnon
• Exact expressions for quantum corrections to spinning strings
• How Accurate is the Quantum String Bethe Ansatz?
• The AdS(5)xS(5) superstring quantum spectrum from the algebraic curve
• Y-system and Quasi-Classical Strings
• One-loop one-point functions in gauge-gravity dualities with defects
• Constructing the AdS/CFT dressing factor
• Strings as Multi-Particle States of Quantum Sigma-Models
• Finite size effects in ferromagnetic spin chains and quantum corrections to classical strings
• PSU(2,2|4) Character of Quasiclassical AdS/CFT
• Finite size effects for giant magnons on physical strings
• Long-Range GL(n) Integrable Spin Chains and Plane-Wave Matrix Theory
• 1/J corrections to semiclassical AdS/CFT states from quantum Landau-Lifshitz model
• Super spin chain coherent state actions and $Ad{S}_5\times S^5$ superstring
• Double Scaling and Finite Size Corrections in sl(2) Spin Chain
• Integrable Open Spin Chains and the Doubling Trick in N = 2 SYM with Fundamental Matter
• Universality in dynamical phase transitions of diffusive systems
• Magnon Bound-state Scattering in Gauge and String Theory
• 1/J^2 corrections to BMN energies from the quantum long range Landau-Lifshitz model
• Pohlmeyer-reduced form of string theory in AdS_5 x S^5: semiclassical expansion
• UV finiteness of Pohlmeyer-reduced form of the AdS_5xS^5 superstring theory
• Fluctuations and Energy Shifts in the Bethe Ansatz
• On the finite size corrections of anti-ferromagnetic anomalous dimensions in $\mathcal{N}=4$ SYM
• Wound and Rotating Strings in AdS_5 x S^5
• One-Loop Corrections to Type IIA String Theory in AdS4 x CP3
• Quantum Stability for the Heisenberg Ferromagnet
• Hubbard's Adventures in $\mathcal{N}=4$ SYM-land? Some non-perturbative considerations on finite length operators
• Quantum Scattering of Giant Magnons
• Matching gauge theory and string theory in a decoupling limit of AdS/CFT
• Asymptotic Bethe Ansatz S-matrix and Landau-Lifshitz type effective 2-d actions
• Slow-string limit and "antiferromagnetic" state in AdS/CFT
• Open Spinning Strings and AdS/dCFT Duality
• Two-loop AdS_5 x S^5 superstring: testing asymptotic Bethe ansatz and finite size corrections
• Interacting Giant Gravitons from Spin Matrix Theory
• Superstring sigma models from spin chains: the SU(1,1|1) case
• Sigma model from SU(1,1|2) spin chain
• Aspects of Integrability in AdS/CFT Duality
• Review of AdS/CFT Integrability, Chapter II.2: Quantum Strings in AdS5xS5
• "Short" spinning strings and structure of quantum AdS_5 x S^5 spectrum
• Rational three-spin string duals and non-anomalous finite size effects
• On the Fermionic Frequencies of Circular Strings
• Structure of the string R-matrix
• Finite-size corrections to the rotating string and the winding state
• More about "short" spinning quantum strings
• Matrix Models, Complex Geometry and Integrable Systems. I
• One-loop spectroscopy of semiclassically quantized strings: bosonic sector
• On string integrability. A journey through the two-dimensional hidden symmetries in the AdS/CFT dualities
• Semiclassical Strings in Electric and Magnetic Fields Deformed $Ad{S}_5\times S^5$ Spacetimes
• Multi-spin String Solutions in Magnetic-flux Deformed $Ad{S}_n\times S^m$ Spacetime
• 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
• Strong coupling anomalous dimensions of $\mathcal{N}=4$ super Yang-Mills
• Quantum Landau-Lifshitz model at four loops: 1/J and 1/J^2 corrections to BMN energies
• Matrix Models, Complex Geometry and Integrable Systems. II
• KPZ fluctuations in finite volume
• Semi-classical quantisation of magnetic solitons in the anisotropic Heisenberg quantum chain
• On type 0 string theory in solvable RR backgrounds
• An exact solution to asymptotic Bethe equation
• On the one-loop curvature function in the $sl(2)$ sector of $\mathcal{N}=4$ SYM
• Remarks on the geometrical properties of semiclassically quantized strings
• Renormalization group flow of reduced string actions
• String Solutions in General Backgrounds