Constrained WZWN models on \(G/\{S \otimes U(1)^n\}\) and exchange algebra of \(G\)-primaries

DOI10.1016/J.NUCLPHYSB.2013.08.019zbMath1284.81248arXiv1306.0718OpenAlexW1971844647MaRDI QIDQ2440229

Shogo Aoyama, Katsuyuki Ishii

Publication date: 27 March 2014

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

Full work available at URL: https://arxiv.org/abs/1306.0718

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Virasoro and related algebras (17B68) 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) Special quantum systems, such as solvable systems (81Q80)

Related Items (2)

Spin-chain with \(\mathrm{PSU}(2| 2) \otimes \mathrm{U}(1)^3\) and non-linear \(\sigma\)-model with \(\mathrm{D}(2, 1; \gamma)\) ⋮ Killing scalar of non-linear \(\sigma\)-model on \(G/H\) realizing the classical exchange algebra

Cites Work

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• The classical exchange algebra of \(AdS_{5} \times S^{5}\) string theory
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• Branes in the \(\text{GL}(1| 1)\) WZNW model
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• The classical trigonometricr-matrix for the quantum-deformed Hubbard chain
• INTRODUCTION TO YANGIAN SYMMETRY IN INTEGRABLE FIELD THEORY

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