A boundary matrix for AdS/CFTSU(1|1) spin chain

DOI10.1088/1742-5468/2009/12/P12001zbMath1456.82151arXiv0909.2226OpenAlexW3102993033MaRDI QIDQ5220523

Guang-Liang Li, Qingyong Lin, Yufei Huang

Publication date: 27 March 2020

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

Full work available at URL: https://arxiv.org/abs/0909.2226

zbMATH Keywords

integrable spin chains (vertex models)

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) 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)

Cites Work

• Open-chain transfer matrices for AdS/CFT
• Reflecting magnons
• Quantum integrability in (super) Yang-Mills theory on the light-cone
• Open string integrability and AdS/CFT
• Solutions of the reflection equation for the \(U_q[G_2\) vertex model]
• Analytical Bethe ansatz for the open AdS/CFT \(\mathrm{SU}(1| 1)\) spin chain
• The \(\mathfrak{su}(2|2)\) dynamic S-matrix
• The \(N=4\) SYM integrable super spin chain
• Spinning strings in \(\text{AdS}_5\times S^5\) and integrable systems
• The Bethe ansatz equations for reflecting magnons
• The Bethe ansatz approach for factorizable centrally extended \(\text{su}(2|2)\) \(S\)-matrices
• Reflection matrices for theU_q[spo(2n|2m) vertex model]
• Reflection matrices for theU_q[osp(r|2m)⁽¹⁾ vertex model]
• Reflection matrices for theU_q[sl(m|n)⁽¹⁾ vertex model]
• New reflection matrices for theU_q(gl(m|n)) case
• Algebraic Bethe ansatz for the one-dimensional Hubbard model with open boundaries
• Boundary conditions for integrable quantum systems
• On , , , , , , and reflectionK-matrices
• The analytic Bethe ansatz for a chain with centrally extended symmetry
• A supersymmetric \(U_q[\text{osp}(2|2)\)-extended Hubbard model with boundary fields]