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

References in corpus (5)

• The AdS_5xS^5 superstring worldsheet S-matrix and crossing symmetry
• Quantum corrections to the string Bethe ansatz
• The AdS5xS5 Superstring in Light-Cone Gauge and its Bethe Equations
• Exact expressions for quantum corrections to spinning strings
• Strings as Multi-Particle States of Quantum Sigma-Models

Cited by in corpus (40)

• Giant Magnons
• The Four-Loop Planar Amplitude and Cusp Anomalous Dimension in Maximally Supersymmetric Yang-Mills Theory
• Finite-size Effects from Giant Magnons
• On String S-matrix, Bound States and TBA
• 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
• 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
• Spinning superstrings at two loops: strong-coupling corrections to dimensions of large-twist SYM operators
• The magnon kinematics of the AdS/CFT correspondence
• Constructing the AdS/CFT dressing factor
• Classical r-matrix of the su(2|2) SYM spin-chain
• A Secret Symmetry of the AdS/CFT S-matrix
• 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
• Interacting finite-size magnons
• Coordinate Bethe Ansatz for the String S-Matrix
• Anomalous dimensions at twist-3 in the sl(2) sector of N=4 SYM
• Quantum Scattering of Giant Magnons
• On the Scattering Phase for AdS_5 x S^5 Strings
• Factorized world-sheet scattering in near-flat AdS_5 x S^5
• Reciprocity of gauge operators in N=4 SYM
• Aspects of Integrability in AdS/CFT Duality
• Integrability and non-perturbative effects in the AdS/CFT correspondence
• The Bethe Ansatz for AdS5 x S5 Bound States
• 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
• The Ising model and planar N=4 Yang-Mills
• Microscopic formulation of the S-matrix in AdS/CFT
• On the dressing phase in the SL(2) Bethe Ansatz
• Gauge-String Dualities and Some Applications
• The SU(2) Long Range Bethe Ansatz and Continuous Integrable Systems