Review of AdS/CFT integrability, chapter I.3: Long-range spin chains

DOI10.1007/s11005-011-0509-6zbMath1244.81056arXiv1012.3985OpenAlexW3100843731MaRDI QIDQ430074

Adam Rej

Publication date: 20 June 2012

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1012.3985

zbMATH Keywords

Hubbard modelhigher loop correctionsInozemtsev modellong-range spin chains

Mathematics Subject Classification ID

Supersymmetric field theories in quantum mechanics (81T60) Yang-Mills and other gauge theories in quantum field theory (81T13) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Exactly solvable models; Bethe ansatz (82B23) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items

Review of AdS/CFT integrability. Chapter VI.2: Yangian algebra ⋮ Review of AdS/CFT integrability, chapter I.2: The spectrum from perturbative gauge theory ⋮ 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 VI.1: Superconformal symmetry ⋮ A new perspective on the integrability of Inozemtsev's elliptic spin chain ⋮ The two-loop dilatation operator of \(\mathcal{N} = {4}\) super Yang-Mills theory in the \(\operatorname{SO}(6)\) sector ⋮ \(\mathcal{N} = 1\) SQCD and the transverse field Ising model

Cites Work

• Review of AdS/CFT integrability, chapter III.4: Twist states and the cusp anomalous dimension
• Review of AdS/CFT integrability, chapter III.1: Bethe ansätze and the R-matrix formalism
• Review of AdS/CFT integrability. Chapter VI.2: Yangian algebra
• Review of AdS/CFT integrability, chapter III.7: Hirota dynamics for quantum integrability
• Review of AdS/CFT integrability, chapter III.2: Exact world-sheet \(S\)-matrix
• Review of AdS/CFT integrability, chapter I.2: The spectrum from perturbative gauge theory
• Review of AdS/CFT integrability, chapter IV.1: Aspects of non-planarity
• Review of AdS/CFT integrability, chapter III.3: The dressing factor
• Planar \(\mathcal N= 4\) gauge theory and the Hubbard model
• On the connection between the one-dimensional \(S=1/2\) Heisenberg chain and Haldane-Shastry model
• Towards the exact dilatation operator of \(N=4\) super-Yang-Mills theory
• Integrability of two-loop dilatation operator in gauge theories
• The \(\mathfrak{su}(2|2)\) dynamic S-matrix
• The large \(N\) limit of superconformal field theories and supergravity
• The dilatation operator of conformal \(N=4\) super-Yang-Mills theory
• The complete one-loop dilatation operator of \(N=4\) super-Yang-Mills theory
• The \(su(2| 3)\) dynamic spin chain
• BMN operators and superconformal symmetry
• Boost Operator and Its Application to Quantum Gelfand-Levitan Equation for Heisenberg-Ising Chain with Spin One-Half
• Integrability test for spin chains
• The su(2|3) Undynamic Spin Chain
• Long-range deformations for integrable spin chains

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