Yang–Baxter deformations of the principal chiral model plus Wess–Zumino term
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Publication:5872030
DOI10.1088/1751-8121/abc43dOpenAlexW3082749835MaRDI QIDQ5872030
Publication date: 26 January 2023
Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2009.00341
Yang-Baxter deformationsintegrable two-dimensional \(\sigma\)-modelsprincipal chiral model plus Wess-Zumino term
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Cites Work
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- Lunin-Maldacena backgrounds from the classical Yang-Baxter equation -- towards the gravity/CYBE correspondence
- Erratum: B-field in \(\mathrm{AdS}_3/\mathrm{CFT}_2\) correspondence and integrability
- Integrability and the \(AdS_3/CFT_2\) correspondence
- Integrability of the bi-Yang-Baxter \(\sigma\)-model
- Abelian Yang-Baxter deformations and \(TsT\) transformations
- Three-parameter integrable deformation of \(\mathbb Z_4\) permutation supercosets
- Yang-Baxter \(\sigma\)-model with WZNW term as \(\mathcal{E}\)-model
- On classical \(q\)-deformations of integrable \(\sigma\)-models
- Integrable deformations of coupled \(\sigma\)-models
- Non-Abelian bosonization in two dimensions
- Comments on \(\eta\)-deformed principal chiral model from 4D Chern-Simons theory
- Towards a two-parameter \(q\)-deformation of \(\mathrm{AdS}_3 \times S^3 \times M^4\) superstrings
- Integrable double deformation of the principal chiral model
- A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
- On Lie groups with left-invariant symplectic or Kählerian structures
- Poisson-Lie \(T\)-duality and loop groups of Drinfeld doubles.
- Target space supergeometry of \(\eta\) and \(\lambda\)-deformed strings
- On the Hamiltonian integrability of the bi-Yang-Baxter \(\sigma\)-model
- Local charges in involution and hierarchies in integrable sigma-models
- Combining the bi-Yang-Baxter deformation, the Wess-Zumino term and TsT transformations in one integrable \(\sigma\)-model
- On integrability of 2-dimensional \(\sigma\)-models of Poisson-Lie type
- Integrable lattice models from gauge theory
- On non-abelian T-duality and deformations of supercoset string sigma-models
- Classical and quantum aspects of Yang-Baxter Wess-Zumino models
- Non-abelian T-duality and Yang-Baxter deformations of Green-Schwarz strings
- B-field in \(\mathrm{AdS}_3\)/\(\mathrm{CFT}_2\) correspondence and integrability
- The sigma model (dual) representation for a two-parameter family of integrable quantum field theories
- The integrable harmonic map problem versus Ricci flow
- A unifying 2D action for integrable \(\sigma \)-models from 4D Chern-Simons theory
- Strong integrability of the bi-YB-WZ model
- Assembling integrable \({\sigma}\)-models as affine Gaudin models
- Dressing cosets and multi-parametric integrable deformations
- Almost abelian twists and AdS/CFT
- The classical \(R\)-matrix of AdS/CFT and its Lie dialgebra structure
- Multiparameter quantum groups and twisted quasitriangular Hopf algebras
- THE CLASSICAL r MATRIX METHOD FOR THE NONLINEAR SIGMA MODEL
- Integrable lattice models from four-dimensional field theories
- Homogeneous Yang–Baxter deformations as non-abelian duals of theAdS5σ-model
- On integrability of the Yang–Baxter σ-model
- On rational solutions of Yang-Baxter equation for $\mathfrak{sl}(n)$.
- Constant solutions of Yang-Baxter equation for $\mathfrak{sl}(2)$ and $\mathfrak{sl}(3)$.
- Deformed integrableσ-models, classicalR-matrices and classical exchange algebra on Drinfel’d doubles
- The Hamiltonian formalism and a many-valued analogue of Morse theory
- Extended Jordanian twists for Lie algebras
- Chains of twists for classical Lie algebras
- On Integrable Field Theories as Dihedral Affine Gaudin Models
- Marginal deformations of WZW models and the classical Yang–Baxter equation
- A deformation of quantum affine algebra in squashed Wess-Zumino-Novikov-Witten models
- Symplectic Homogeneous Spaces
- Solutions of the classical Yang-Baxter equation for simple Lie algebras