Long-range integrable spin chains and plane-wave matrix theory

DOI10.1088/1742-5468/2006/07/P07006zbMath1456.81223arXivhep-th/0510124WikidataQ59256201 ScholiaQ59256201MaRDI QIDQ5239295

No author found.

Publication date: 22 October 2019

Published in: Journal of Statistical Mechanics: Theory and Experiment (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0510124

zbMATH Keywords

integrable spin chains (vertex models)quantum integrability (Bethe ansatz)

Mathematics Subject Classification ID

Exactly solvable models; Bethe ansatz (82B23) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Groups and algebras in quantum theory and relations with integrable systems (81R12)

Related Items

The leading-order dressing phase in ABJM theory ⋮ Quantum corrections to spinning superstrings in \(\mathrm{AdS}_{3}\times S^{3}\times M ^{4}\): determining the dressing phase ⋮ Chaos in the BMN matrix model ⋮ Irrelevant deformations with boundaries and defects ⋮ Reciprocity and integrability in the \({\mathbf{s}\mathbf{l}}(2)\) sector of \(\mathcal{N} = 4\) SYM ⋮ Five-loop anomalous dimension at critical wrapping order in \( \mathcal{N} = 4 \) SYM ⋮ On the dressing factors, Bethe equations and Yangian symmetry of strings on AdS₃×S³×T⁴ ⋮ Integrable deformations of the XXZ spin chain ⋮ On the spectral problem of \(\mathcal{N} = 4\) SYM with orthogonal or symplectic gauge group ⋮ Anomalous dimension with wrapping at four loops in \({\mathcal N}=4\) SYM ⋮ Integrability and transcendentality ⋮ Strings and Super-Yang–Mills theory: the integrable story ⋮ Yangian symmetry of long-range \mathfrak {g}\mathfrak {l}(N) integrable spin chains

Cites Work

• Unnamed Item
• Unnamed Item
• On quantum corrections to spinning strings and Bethe equations
• On the connection between the one-dimensional \(S=1/2\) Heisenberg chain and Haldane-Shastry model
• Spinning strings and integrable spin chains in the AdS/CFT correspondence
• \(N\)-impurity superstring spectra near the pp-wave limit
• A three-loop test of the dilatation operator in \(\mathcal N=4\) SYM
• Matching quantum strings to quantum spins: one-loop vs. finite-size corrections
• Long-range \(\mathfrak{psu}(2,2|4)\) Bethe ansätze for gauge theory and strings
• New results in the deformed \(\mathcal N=4\) SYM theory
• The dilatation operator of conformal \(N=4\) super-Yang-Mills theory
• The \(N=4\) SYM integrable super spin chain
• Spinning strings in \(\text{AdS}_5\times S^5\) and integrable systems
• Plane-wave matrix theory from \(N=4\) super-Yang-Mills on \(\mathbb{R}\times S^3\)
• 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
• Symmetry algebras of large-\(N\) Matrix models for open strings
• A semi-classical limit of the gauge/string correspondence
• Aspects of semiclassical strings in AdS\(_5\)
• Integrability test for spin chains
• AN INTRODUCTION TO YANGIAN SYMMETRIES
• Semiclassical Bethe ansatz and AdS/CFT
• Spin chain for quantum strings
• YANGIAN SYMMETRIES OF MATRIX MODELS AND SPIN CHAINS: THE DILATATION OPERATOR OF ${\mathcal N} = 4$ SYM