Killing scalar of non-linear \(\sigma\)-model on \(G/H\) realizing the classical exchange algebra

DOI10.1016/j.physletb.2014.08.048zbMath1317.81228arXiv1405.4638OpenAlexW1975975164MaRDI QIDQ2355058

Shogo Aoyama

Publication date: 27 July 2015

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

Full work available at URL: https://arxiv.org/abs/1405.4638

zbMATH Keywords

quantum groupPoisson structurenon-linear \(\sigma\)-modelclassical exchange algebra

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Symmetries, Lie group and Lie algebra methods for problems in mechanics (70G65) Yang-Baxter equations (16T25)

Related Items (1)

Spin-chain with \(\mathrm{PSU}(2| 2) \otimes \mathrm{U}(1)^3\) and non-linear \(\sigma\)-model with \(\mathrm{D}(2, 1; \gamma)\)

Cites Work

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• Review of AdS/CFT integrability, chapter II.3: Sigma model, gauge fixing
• On holomorphic factorization of WZW and coset models
• Type IIB superstring action in \(\text{AdS}_5\times S^5\) background
• Constrained WZWN models on \(G/\{S \otimes U(1)^n\}\) and exchange algebra of \(G\)-primaries
• (N, p, q) HARMONIC SUPERSPACE
• The classical trigonometricr-matrix for the quantum-deformed Hubbard chain
• Classical exchange algebra of the superstring on S⁵with AdS-time
• The four-Fermi coupling of the supersymmetric non-linear \(\sigma\)-model on \(G/S\otimes\{\text{U}(1)\}^k\)

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