Long-range \(\mathfrak{psu}(2,2|4)\) Bethe ansätze for gauge theory and strings

DOI10.1016/j.nuclphysb.2005.06.038zbMath1126.81328arXivhep-th/0504190OpenAlexW1931244805WikidataQ59256214 ScholiaQ59256214MaRDI QIDQ876220

Matthias Staudacher, Niklas Beisert

Publication date: 16 April 2007

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0504190

Mathematics Subject Classification ID

Supersymmetric field theories in quantum mechanics (81T60) Yang-Mills and other gauge theories in quantum field theory (81T13) Continuum limits in quantum field theory (81T27) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items

YANGIANS IN INTEGRABLE FIELD THEORIES, SPIN CHAINS AND GAUGE-STRING DUALITIES, A REVIEW OF INTEGRABLE DEFORMATIONS IN AdS/CFT, Chaos in the BMN matrix model, Six-loop anomalous dimension of twist-two operators in planar \( \mathcal{N}=4 \) SYM theory, Quantum spectral curve for arbitrary state/operator in \(\mathrm{AdS}_{5}/\mathrm{CFT}_{4}\), Bethe ansatz for an AdS/CFT open spin chain with non-diagonal boundaries, Quantum dispersion relations for the \( Ad{S}_4\times {\mathbb{C}}\mathbb{P}^3 \) GKP string, A note on oscillating strings in \(\mathrm{AdS}_{3} \times S^{3}\) with mixed three-form fluxes, Worldsheet scattering for the GKP string, Excited states of open strings from \( \mathcal{N}=4 \) SYM, Puzzles of \(\eta\) deformed \(\mathrm{AdS}_{5}\times S^{5}\), One-point functions in AdS/dCFT, A review of the AdS/CFT Quantum Spectral Curve, The full spectrum of AdS5/CFT4 I: representation theory and one-loop Q-system, Partially Solvable Spin Chains and QES Spin Models, ASPECTS OF INTEGRABILITY IN $\mathcal{N} = 4$ SYM, Wilson-loop one-point functions in ABJM theory, MASS-GAPS AND SPIN CHAINS FOR (SUPER)MEMBRANES, Integrability treatment of AdS/CFT orbifolds, On the dressing factors, Bethe equations and Yangian symmetry of strings on AdS₃×S³×T⁴, The thermodynamic Bethe ansatz in a gauge theory, Jordan blocks and the Bethe ansatz. II: The eclectic spin chain beyond \(K = 1\), Chaotic string motion in a near pp-wave limit, Discontinuity relations for the AdS\({}_4\)/CFT\({}_3\) correspondence, Bethe ansätze for GKP strings, Exploring the mirror TBA, On correlation functions of operators dual to classical spinning string states, Strings on semisymmetric superspaces, Spiky strings with two spins in \(\mathrm{AdS}_{5}\), Y-system, TBA and quasi-classical strings in \(\mathrm{AdS}_{4} \times \mathbb{CP}^{3}\), 5-loop Konishi from linearized TBA and the XXX magnet, The strong coupling limit of the scaling function from the quantum string Bethe ansatz, The \(\text{AdS}_{5}\times S^{5}\) superstring quantum spectrum from the algebraic curve, Strong coupling limit of Bethe ansatz equations, A novel quasi-exactly solvable spin chain with nearest-neighbors interactions, Constructing the AdS/CFT dressing factor, EXACT S-MATRICES FOR AdS₃/CFT₂, Factorized world-sheet scattering in near-flat \(\text{AdS}_5\times S^5\), Analytic Bethe ansatz and Baxter equations for long-range \(\text{psl}(2|2)\) spin chain, SPIKY STRINGS AND GAUGE THEORY PARTONS, Multiple zeta functions and double wrapping in planar \(\mathcal{N} = 4\) SYM, Nonsinglet pentagons and NMHV amplitudes, Quantum spectral curve as a tool for a perturbative quantum field theory, The classical \(r\)-matrix of AdS/CFT and its Lie bialgebra structure, A shortcut to general tree-level scattering amplitudes in \documentclass{article}\usepackage{amssymb}\pagestyle{empty}\begin{document}$ \mathcal{N} = 4$\end{document} SYM via integrability, Integrability and transcendentality, Singularities of the magnon<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>S</mml:mi></mml:math>matrix, ON THE WRAPPING CORRECTION TO SINGLE MAGNON ENERGY IN TWISTED ${\mathcal N}=4$ SYM, Cusp Anomalous Dimension in Maximally Supersymmetric Yang-Mills Theory at Strong Coupling, Two-Loop Iteration of Five-Point<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="script">N</mml:mi><mml:mo>=</mml:mo><mml:mn>4</mml:mn></mml:math>Super-Yang-Mills Amplitudes, Bethe ansatz in stringy sigma models, Long-range integrable spin chains and plane-wave matrix theory, The analytic Bethe ansatz for a chain with centrally extended symmetry, The thermodynamical limit of generalgl(N) spin chains: II. Excited states and energies, Yangian symmetry of long-range \mathfrak {g}\mathfrak {l}(N) integrable spin chains, A generalized scaling function for AdS/CFT, ON THE SCATTERING PHASE FOR AdS₅ × S⁵ STRINGS, Level density distribution for one-dimensional vertex models related to Haldane-Shastry like spin chains, The full spectrum of AdS₅/CFT₄ II: Weak coupling expansion via the quantum spectral curve, Protected states in AdS₃ backgrounds from integrability, On the one-loop curvature function in the \(\mathfrak {sl}(2)\) sector of \(\mathcal N=4\) SYM, HHL correlators, orbit averaging and form factors, Correlation functions of local composite operators from generalized unitarity, Integrable boundaries in AdS/CFT: revisiting the \(Z=0\) giant graviton and D7-brane, All-loop Bethe ansatz equations for \(\mathrm{AdS}_3/\mathrm{CFT}_2\), Strings in \(\mathrm{AdS}_4\times\mathbb CP^3\): finite size spectrum vs. Bethe ansatz, Twisted magnons, Semiclassical folded string in \(\mathrm{AdS}_{5}\times S^{5}\), Hints of integrability beyond the planar limit: Nontrivial backgrounds, Y-system and quasi-classical strings, Reciprocity and integrability in the \({\mathbf{s}\mathbf{l}}(2)\) sector of \(\mathcal{N} = 4\) SYM, From weak coupling to spinning strings, Five-loop anomalous dimension at critical wrapping order in \( \mathcal{N} = 4 \) SYM, Integrability and the \(AdS_3/CFT_2\) correspondence, Energy-spin trajectories in \(AdS_5 \times S^5\) from semiclassical vertex operators, Giant spinons, On the worldsheet theory of the type IIA \(\text{AdS}_4 \times \mathbb{CP}_3\) superstring, Webs in multiparton scattering using the replica trick, Solutions of the T-system and Baxter equations for supersymmetric spin chains, The generalised scaling function: a note, Generalized dynamical spin chain and 4-loop integrability in \({\mathcal N}=6\) superconformal Chern-Simons theory, Five loop Konishi from AdS/CFT, Analytic solution of the multiloop Baxter equation, On three-point correlation functions in the gauge/gravity duality, Six-loop anomalous dimension of twist-three operators in \(\mathcal{N} = 4\) SYM, Spiky strings and giant holes, The Yangian origin of the Grassmannian integral, Loop lessons from Wilson loops in \(\mathcal{N} = 4\) supersymmetric Yang-Mills theory, Twisted Bethe equations from a twisted S-matrix, Five-loop anomalous dimension of twist-two operators, TBA and Y-system for planar AdS\(_{4}\)/CFT\(_{3}\), Anomalous dimensions at four loops in \({\mathcal N}=6\) superconformal Chern-Simons theories, Review of AdS/CFT integrability, chapter III.4: Twist states and the cusp anomalous dimension, Review of AdS/CFT integrability, chapter III.2: Exact world-sheet \(S\)-matrix, Review of AdS/CFT integrability, chapter II.4: The spectral curve, Review of AdS/CFT integrability, chapter II.2: Quantum strings in AdS\(_{5} \times\)S\(^{5}\), Review of AdS/CFT integrability, chapter I.1: Spin chains in \({\mathcal{N}=4}\) super Yang-Mills, Review of AdS/CFT integrability, chapter III.6: Thermodynamic Bethe ansatz, Review of AdS/CFT integrability, chapter IV.1: Aspects of non-planarity, Review of AdS/CFT integrability, chapter III.3: The dressing factor, The classical exchange algebra of \(AdS_{5} \times S^{5}\) string theory, The all loop \(AdS_{4}/CFT_{3}\) Bethe ansatz, The Bethe ansatz for \(AdS_{5} \times S^{5}\) bound states, The \(\mathrm{AdS}_4 \times \mathbb C\mathbb P_3\) string and its Bethe equations in the near plane wave limit, Giant magnons and spiky strings on the conifold, The \(AdS_{4}/CFT_{3}\) algebraic curve, Algebraic curves for integrable string backgrounds, Reflecting magnons, Large winding sector of AdS/CFT, Anomalous dimensions of finite size field strength operators in \(\mathcal N= 4\) SYM, On the origin of the dressing phase in \(\mathcal N=4\) super-Yang-Mills, Reflecting magnon bound states, Complete 1-loop test of AdS/CFT, Giant magnons and singular curves, Microscopic formulation of the S-matrix in AdS/CFT, The arrow of time, black holes, and quantum mixing of large \(N\) Yang-Mills theories, On string \(S\)-matrix, bound states and TBA, Strong coupling expansion of Baxter equation in \({\mathcal N}=4\) SYM, Exciting the GKP string at any coupling, Lüscher formula for GKP string, The spectral problem for strings on twisted \(\text{AdS}_{5}\times \text{S}^{5}\), On quantum corrections to spinning strings and Bethe equations, Antiferromagnetic operators in \(N=4\) supersymmetric Yang-Mills theory, Integrable spin chains on the conformal moose: \(\mathcal N= 1\) superconformal gauge theories as six-dimensional string theories, Planar \(\mathcal N= 4\) gauge theory and the Hubbard model, Three-spin giant magnons in \(AdS_{5} \times S^{5}\), How accurate is the quantum string Bethe ansatz?, Comments on the mirror TBA, Wrapping corrections and reciprocity beyond the \( \mathfrak{s}\mathfrak{l}(2) \) subsector in \( \mathcal{N} = 4 \) SYM, Y-system for \( {\mathbb{Z}_S} \) orbifolds of \( \mathcal{N} = 4 \) SYM, Scattering of giant holes, \(\mathrm{Ads}_{5} {\times} S^{5}\) mirror TBA equations from Y-system and discontinuity relations, Double-logs, Gribov-Lipatov reciprocity and wrapping, Quantum folded string and integrability: from finite size effects to Konishi dimension, Integrability, spin-chains and the AdS\({}_{3}\)/CFT\({}_{2}\) correspondence, Bootstrapping null polygon Wilson loops, On the spectrum of the \(\mathrm{AdS}_{5} {\times} S^{5}\) string at large {\(\lambda\)}, On wrapping corrections to GKP-like operators, Dynamic lattice supersymmetry in \(\mathfrak{gl}\left( {n}|{m}\right) \) spin chains, Lifting asymptotic degeneracies with the mirror TBA, Tailoring three-point functions and integrability II. Weak/strong coupling match, Spectral properties of supersymmetric Polychronakos spin chain associated with \(A_{N - 1}\) root system, Quantum folded string in \(S^{5}\) and the Konishi multiplet at strong coupling, Continuum limit of fishnet graphs and AdS sigma model, Perturbative four-point functions in planar \( \mathcal{N}=4 \) SYM from hexagonalization, Structure constants at wrapping order, Boundary finite size corrections for multiparticle states and planar AdS/CFT, Wronskian solution for AdS/CFT Y-system, Oscillator construction of \(\mathfrak{su}(n|m)\) \(Q\)-operators, On string integrability: a journey through the two-dimensional hidden symmetries in the Ads/CFT dualities, The high spin expansion of twist sector dimensions: the planar \({\mathcal N}=4\) super Yang-Mills theory, Generalized Gribov-Lipatov reciprocity and AdS/CFT, A universality test of the quantum string Bethe ansatz, On \(\mathrm{AdS}_5\times S^5\) string \(S\)-matrix, Long-range \(\mathrm{SL}(2)\) Baxter equation in \(\mathcal N=4\) super-Yang-Mills theory, Integrability and non-perturbative effects in the AdS/CFT correspondence, Twist 3 of the \(\mathrm{sl}(2)\) sector of \(N=4\) SYM and reciprocity respecting evolution, Twist operators in \(N=4\) beta-deformed theory, Leading singularities and off-shell conformal integrals, The all-loop integrable spin-chain for strings on \(\mathrm{AdS}_3\times S^3\times T^4\): the massive sector, Reciprocity and self-tuning relations without wrapping, A Young diagram expansion of the hexagonal Wilson loop (amplitude) in \(\mathcal{N} = 4\) SYM, The tetrahedral Zamolodchikov algebra and the \(\mathrm{Ad}S_5\times S^5\) S-matrix, Exactly solvable models in atomic and molecular physics, Positivity of hexagon perturbation theory, Twist-2 at seven loops in planar \( \mathcal{N} =4\) SYM theory: full result and analytic properties, Integrability of orbifold ABJM theories, The contribution of scalars to \(\mathcal{N} = 4\) SYM amplitudes. II: Young tableaux, asymptotic factorisation and strong coupling, Wrapping corrections for non-diagonal boundaries in AdS/CFT, Three-point functions in \(\mathcal{N}=4\) SYM: the hexagon proposal at three loops, Strong coupling results in the \(\mathrm{AdS}_{5}/\mathrm{CFT}_{4}\) correspondence from the numerical solution of the quantum spectral curve, On circular strings in \((\mathrm{AdS}_3\times S^3)_{\kappa}\), Exact spectrum of anomalous dimensions of planar \(N = 4\) supersymmetric Yang-Mills theory: TBA and excited states, Exploring the spectrum of planar \(\mathrm{AdS}_{4}/\mathrm{CFT}_{3}\) at finite coupling, Asymptotic Bethe ansatz from string sigma model on \(S^3\times \mathbb R\), Jordan blocks and the Bethe ansatz. I: The eclectic spin chain as a limit, Spinning strings and integrable spin chains in the AdS/CFT correspondence, Finite-size effect for dyonic giant magnons in \(C P_\beta^3\), Gauge-string duality for (non)supersymmetric deformations of \(N=4\) super-Yang--Mills theory, \(1/J\) corrections to semiclassical AdS/CFT states from quantum Landau--Lifshitz model, Wrapping interactions and a new source of corrections to the spin-chain/string duality, Sigma model from \(\text{SU}(1| 2)\) spin chain, Strings as multi-particle states of quantum sigma-models, Logarithmic corrections to higher twist scaling at strong coupling from AdS/CFT, Towards Baxter equation in supersymmetric Yang-Mills theories, On the highest transcendentality in \(\mathcal N=4\) SUSY, The complete unitary dual of non-compact Lie superalgebra \(\mathfrak{su}(p,q|m)\) via the generalised oscillator formalism, and non-compact Young diagrams, The one-loop spectral problem of strongly twisted $\mathcal{N}=4$ super Yang-Mills theory, On the scattering over the GKP vacuum, \(\mathrm{CFT}_{4}\) as \(\operatorname{SO}(4, 2)\)-invariant \(\mathrm{TFT}_{2}\), A large spin limit of strings on \(\mathrm{AdS}_5\times S^5\) in a non-compact sector, On the commuting charges for the highest dimension \(\mathrm{SU}(2)\) operators in planar \(\mathcal N=4\), Y-system for \(\gamma\)-deformed ABJM theory, Fermionic pentagons and NMHV hexagon, Spectral curve for \(\gamma\)-deformed \(\mathrm{AdS}/mathrm{CFT}\), Asymptotic Bethe Ansatz on the GKP vacuum as a defect spin chain: scattering, particles and minimal area Wilson loops, The full quantum spectral curve for \(\mathrm{AdS}_{4} /CFT_{3}\), Structure constants of operators on the Wilson loop from integrability, The Bethe ansatz equations for reflecting magnons, On the high spin expansion in the \(sl(2)_{{\mathcal N}=4}\) SYM theory, Discrete Hirota dynamics for AdS/CFT, Structure constants in \(\mathcal{N} = 4\) SYM at finite coupling as worldsheet \(g\)-function, Integrable boundary states in D3-D5 dCFT: beyond scalars, Non-planar universal anomalous dimension of twist-two operators with general Lorentz spin at four loops in \(\mathcal{N} = 4\) SYM theory, Duality relations for overlaps of integrable boundary states in AdS/dCFT, Classifying integrable symmetric space strings via factorized scattering, Colour-dressed hexagon tessellations for correlation functions and non-planar corrections, Chiral limit of \( \mathcal{N} = 4\) SYM and ABJM and integrable Feynman graphs, Algebraic geometry and Bethe ansatz. I: The quotient ring for BAE, Multi-particle finite-volume effects for hexagon tessellations, The Bajnok-Janik formula and wrapping corrections, Pulsating strings on \((\mathrm{AdS}_{3}\times S^{3})_{\kappa}\), On the spectral problem of \(\mathcal{N} = 4\) SYM with orthogonal or symplectic gauge group, Correlation functions of three heavy operators -- the AdS contribution, The property of maximal transcendentality: calculation of Feynman integrals, PSU\((2, 2|4)\) character of quasiclassical AdS/CFT, Finite size effects for giant magnons on physical strings, Fusion hierarchies for \(\mathcal N=4\) super-Yang-Mills theory, The S-matrix of string bound states, Embedding nonlinear \(O(6)\) sigma model into \({N=4}\) super-Yang-Mills theory, Four-loop perturbative Konishi from strings and finite size effects for multiparticle states, Issues on magnon reflection, Fine structure of anomalous dimensions in \({\mathcal N}=4\) super-Yang-Mills theory, Four loop twist two, BFKL, wrapping and strings, The bound state S-matrix for \(AdS_{5}\times S^{5}\) superstring, Structure of large spin expansion of anomalous dimensions at strong coupling, Analytic three-loop solutions for \({\mathcal N}=4\) SYM twist operators, Spin chains in \( \mathcal{N} = {2} \) superconformal theories from the \(\mathbb{Z}_2\) quiver to superconformal QCD, OPE in planar QCD from integrability, The complete one-loop dilation operator of \(\mathcal{N} = 2\) superconformal QCD, Solving the AdS/CFT Y-system, More about ``short spinning quantum strings, \(Y\)-system for \(Y=0\) brane in planar AdS/CFT, Integrable superstrings on the squashed three-sphere, TBA-like equations and Casimir effect in (non-)perturbative AdS/CFT, From polygon Wilson loops to spin chains and back, Eden-Staudacher and Beisert-Eden-Staudacher equations in the \(\mathcal{N} = 4\) supersymmetric gauge theory, Finite size effect from classical strings in deformed \(\mathrm{AdS}_{3} \times S^3\), Yangian symmetry of string theory on \(\mathrm{AdS}_{3} \times S^{3} \times S^{3} \times S^{1}\) with mixed 3-form flux, Generalized unitarity and the worldsheet \(S\) matrix in \(\mathrm{AdS}_n\times\mathrm{S}^n\times\mathrm{M}^{10-2n}\), ABJM quantum spectral curve at twist 1: algorithmic perturbative solution, Exact results for the low energy \(AdS_{4}\times \mathbb{C}\mathbb{P}^{3}\) string theory, Fermions and scalars in \(\mathcal{N} = 4\) Wilson loops at strong coupling and beyond, Determinant form of correlators in high rank integrable spin chains via separation of variables, Non-planar anomalous dimension of twist-2 operators: higher moments at four loops, Asymptotic four point functions, Qcd-like properties of anomalous dimensions in the \(\mathcal N =4\) supersymmetric Yang-Mills theory, Toward an analytic perturbative solution for the ABJM quantum spectral curve, Classical spectral curve of the \( \mathrm{AdS}_5 \times S^5\) lambda superstring, Three-point functions at strong coupling in the BMN limit, Bethe ansatz for quantum-deformed strings, Monodromy bootstrap for \(\mathrm{SU}(2|2)\) quantum spectral curves: from Hubbard model to \(\mathrm{AdS}_3/\mathrm{CFT}_2\), Exact result in \(\mathcal{N} = 4\) SYM theory: generalised double-logarithmic equation, Bound states in the mirror TBA, \(\mathcal{N} = 1\) SQCD and the transverse field Ising model, \(\mathcal{N} = 4\) SYM structure constants as determinants, Deeper look into short strings, \(q\)-deformation of the \(\operatorname{AdS}_{5} \times \operatorname{S}^{5}\) superstring S-matrix and its relativistic limit, Exploring the ground state spectrum of \(\gamma\)-deformed \(\mathcal{N} = 4\) SYM, Fermionic contribution to the anomalous dimension of twist-2 operators in \(\mathcal{N} = 4\) SYM theory, critical indices and integrability

Cites Work

• Three-loop universal anomalous dimension of the Wilson operators in \(\mathcal N=4\) SUSY Yang-Mills model
• Gauge theory correlators from non-critical string theory
• Algebraic curve for the SO(6) sector of AdS/CFT
• The algebraic curve of classical superstrings on \(\mathrm{AdS}_{5} \times S^{5}\)
• The three-loop splitting functions in QCD: the non-singlet case
• \(N\)-impurity superstring spectra near the pp-wave limit
• The algebraic curve of 1-loop planar \(\mathcal N=4\) SYM
• Operator mixing in \(\mathcal N=4\) SYM: the Konishi anomaly revisited
• A two-loop test for the factorised \(S\)-matrix of planar \(\mathcal N=4\)
• The dilatation operator of conformal \(N=4\) super-Yang-Mills theory
• Multi-spin string solutions in AdS\(_5\times S^5\)
• The \(N=4\) SYM integrable super spin chain
• Quantizing string theory in AdS\(_5\times S^5\): beyond the pp-wave
• The complete one-loop dilatation operator of \(N=4\) super-Yang-Mills theory
• On the integrability of large \(N\) plane-wave matrix theory
• The \(su(2| 3)\) dynamic spin chain
• Circular semiclassical string solutions on AdS\(_5\times S_5\)
• Anomalous dimensions of Wilson operators in \(N=4\) SYM theory
• BMN operators and superconformal symmetry
• The duality between IIB string theory on PP-wave and  =4 SYM: a status report
• INTEGRABILITY IN QCD AND BEYOND
• Semiclassical Bethe ansatz and AdS/CFT
• EULER-LAGRANGE EQUATIONS FOR THE GRIBOV REGGEON CALCULUS IN QCD AND IN GRAVITY
• The SU(2) sector in AdS/CFT
• Spin chain for quantum strings
• Some Exact Results for the Many-Body Problem in one Dimension with Repulsive Delta-Function Interaction