A Universality Test of the Quantum String Bethe Ansatz

Abstract

We show that the quantum corrected string Bethe ansatz passes an important universality test by demonstrating that it correctly incorporates the non-analytical terms in the string sigma model one-loop correction for rational three-spin strings with two out of the three spins identical. Subsequently, we use the quantum corrected string Bethe ansatz to predict the exact form of the non-analytic terms for the generic rational three-spin string.

12 pages, references added

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Cited by in corpus (68)

• Transcendentality and Crossing
• Giant Magnons
• The Four-Loop Planar Amplitude and Cusp Anomalous Dimension in Maximally Supersymmetric Yang-Mills Theory
• Foundations of the AdS_5 x S^5 Superstring. Part I
• A Crossing-Symmetric Phase for AdS_5 x S^5 Strings
• The Zamolodchikov-Faddeev Algebra for AdS_5 x S^5 Superstring
• Finite-size Effects from Giant Magnons
• On String S-matrix, Bound States and TBA
• The Analytic Bethe Ansatz for a Chain with Centrally Extended su(2|2) Symmetry
• A Test of the AdS/CFT Correspondence Using High-Spin Operators
• On the highest transcendentality in N=4 SUSY
• Two-loop world-sheet corrections in AdS_5 x S^5 superstring
• Logarithmic corrections to higher twist scaling at strong coupling from AdS/CFT
• On the Hopf algebra structure of the AdS/CFT S-matrix
• Dressing phases of AdS3/CFT2
• The Strong Coupling Limit of the Scaling Function from the Quantum String Bethe Ansatz
• A Generalized Scaling Function for AdS/CFT
• Complete 1-loop test of AdS/CFT
• The Bethe ansatz approach for factorizable centrally extended S-matrices
• q-Deformation of the AdS5 x S5 Superstring S-matrix and its Relativistic Limit
• The Dressing Factor and Crossing Equations
• Quantum corrections to spinning superstrings in AdS_3 x S^3 x M^4: determining the dressing phase
• How Accurate is the Quantum String Bethe Ansatz?
• Spinning superstrings at two loops: strong-coupling corrections to dimensions of large-twist SYM operators
• The magnon kinematics of the AdS/CFT correspondence
• Y-system and Quasi-Classical Strings
• Constructing the AdS/CFT dressing factor
• Quantum integrability and functional equations
• Classical r-matrix of the su(2|2) SYM spin-chain
• The scaling function at strong coupling from the quantum string Bethe equations
• A Secret Symmetry of the AdS/CFT S-matrix
• Finite Size Giant Magnon
• Review of AdS/CFT Integrability, Chapter III.3: The dressing factor
• Asymptotic Bethe Ansatz from String Sigma Model on S^3 x R
• A Yangian Double for the AdS/CFT Classical r-matrix
• Integrable twists in AdS/CFT
• Magnon Bound-state Scattering in Gauge and String Theory
• Reduced sigma-model on AdS_5 x S^5: one-loop scattering amplitudes
• Generalized scaling function from light-cone gauge AdS_5 x S^5 superstring
• Quantum corrections to short folded superstring in AdS_3 x S^3 x M^4
• Interacting finite-size magnons
• Anomalous dimensions at twist-3 in the sl(2) sector of N=4 SYM
• Coordinate Bethe Ansatz for the String S-Matrix
• Quantum Scattering of Giant Magnons
• On the Scattering Phase for AdS_5 x S^5 Strings
• Asymptotic Bethe Ansatz S-matrix and Landau-Lifshitz type effective 2-d actions
• Factorized world-sheet scattering in near-flat AdS_5 x S^5
• The AdS3 x S3 x S3 x S1 Hernandez-Lopez Phases: a Semiclassical Derivation
• Reciprocity of gauge operators in N=4 SYM
• Integrability and non-perturbative effects in the AdS/CFT correspondence
• Aspects of Integrability in AdS/CFT Duality
• Review of AdS/CFT Integrability, Chapter II.2: Quantum Strings in AdS5xS5
• Bethe Ansatz solutions for highest states in $\mathcal{N}=4$ SYM and AdS/CFT duality
• The Bethe Ansatz for AdS5 x S5 Bound States
• On string integrability. A journey through the two-dimensional hidden symmetries in the AdS/CFT dualities
• Anomalous dimensions of finite size field strength operators in N=4 SYM
• The S-matrix of the Faddeev-Reshetikhin Model, Diagonalizability and PT Symmetry
• On the origin of the dressing phase in N=4 Super Yang-Mills
• N-body Dynamics of Giant Magnons in RxS2
• Superspace methods for the computation of wrapping effects in the standard and beta-deformed N=4 SYM
• On the dressing phase in the SL(2) Bethe Ansatz
• Microscopic formulation of the S-matrix in AdS/CFT
• Wrapping effects in supersymmetric gauge theories
• Highest states in light-cone $Ad{S}_5\times S^5$ superstring
• The Ising model and planar N=4 Yang-Mills
• Gauge-String Dualities and Some Applications
• Analytic Bethe Ansatz Solutions for Highest States in the su(1|1) and su(2) Sectors
• The SU(2) Long Range Bethe Ansatz and Continuous Integrable Systems