Multi-parametric R-matrix for the $\mathfrak {sl}(2|1)$sl(2|1) Yangian

DOI10.1063/1.4740022zbMath1278.81147arXiv1202.5405OpenAlexW3106308393MaRDI QIDQ2872258

Andrei Babichenko, Alessandro Torrielli

Publication date: 14 January 2014

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

Full work available at URL: https://arxiv.org/abs/1202.5405

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Quantum field theory on curved space or space-time backgrounds (81T20) Groups and algebras in quantum theory and relations with integrable systems (81R12) Superalgebras (17A70) (2)-body potential quantum scattering theory (81U05)

Cites Work

• Scattering and duality in the 2 dimensional OSp\((2\mid 2)\) Gross Neveu and sigma models
• Integrability and the \(AdS_3/CFT_2\) correspondence
• Review of AdS/CFT integrability. Chapter VI.2: Yangian algebra
• The Yangian of \( \mathfrak{s}\mathfrak{l}\left( {n\left| m \right.} \right) \) and its quantum R-matrices
• The continuum limit of gl(\(M|N\)) spin chains
• Integrability, spin-chains and the AdS\({}_{3}\)/CFT\({}_{2}\) correspondence
• Conformal invariance and quantum integrability of sigma models on symmetric superspaces
• Continuum limit of the integrable \(sl(2/1)3-\bar 3\) superspin chain
• Exact solution and finite size properties of the \(U_{q}[\text{osp}(2| 2m)\) vertex models]
• The \(\mathfrak{su}(2|2)\) dynamic S-matrix
• \(\text{PSL}(n|n)\) sigma model as a conformal field theory
• On the construction and solution of \(U_q(\widehat{\text{gl}}(2,1;{\mathbb{C}}))\)-symmetric models
• Conformal field theory of AdS background with Ramond-Ramond flux
• Algebraic Bethe ansatz for \(gl(2,1)\) invariant 36-vertex models
• Yangian double
• On the exact solution of models based on non-standard representations
• A relativistic relative of the magnon S-matrix
• On Drinfeld's second realization of the AdS/CFT \(\mathfrak{su}(2|2)\) Yangian
• YANGIANS IN INTEGRABLE FIELD THEORIES, SPIN CHAINS AND GAUGE-STRING DUALITIES
• Yangians,S-matrices and AdS/CFT
• Solutions of the Yang-Baxter equation with extra nonadditive parameters. II. U_q(gl(m/n))
• AN ALGEBRAIC APPROACH TO LOGARITHMIC CONFORMAL FIELD THEORY
• Solutions of the quantum Yang-Baxter equation with extra nonadditive parameters
• U_qosp(2,2) lattice models
• Extended integrability regime for the supersymmetricUmodel
• The exact \(S\)-matrix for an \(\text{osp}(2| 2)\) disordered system.
• \(\text{gl}(N|N)\) super-current algebras for disordered Dirac fermions in two dimensions

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