Quantum anisotropic sigma and lambda models as spin chains
From MaRDI portal
Publication:3119980
DOI10.1088/1751-8121/aadc6dzbMath1412.82006arXiv1802.06016OpenAlexW2787532417WikidataQ57593357 ScholiaQ57593357MaRDI QIDQ3119980
Daniel C. Thompson, Calan Appadu, Dafydd Price, Timothy J. Hollowood
Publication date: 28 February 2019
Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1802.06016
Other elementary particle theory in quantum theory (81V25) Exactly solvable models; Bethe ansatz (82B23) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) (S)-matrix theory, etc. in quantum theory (81U20) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10) Yang-Baxter equations (16T25)
Related Items
Integrable deformations of sigma models, Ultralocal Lax connection for para-complex \(\mathbb{Z}_T\)-cosets, Asymptotics in an asymptotic CFT, Exceptional solutions to the eight-vertex model and integrability of anisotropic extensions of massive fermionic models, Separation of variables in the WZW models, Sigma models as Gross-Neveu models, Dressing cosets and multi-parametric integrable deformations
Cites Work
- Unnamed Item
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- All-loop anomalous dimensions in integrable \(\lambda\)-deformed \(\sigma\)-models
- Scale invariance of the \(\eta\)-deformed \(\mathrm{AdS}_{5} \times S^{5}\) superstring, T-duality and modified type II equations
- Yang-Baxter deformations, AdS/CFT, and twist-noncommutative gauge theory
- Supergravity background of \(\lambda\)-deformed model for \(\mathrm{AdS}_{2} \times S^{2}\) supercoset
- Integrability of classical strings dual for noncommutative gauge theories
- Lunin-Maldacena backgrounds from the classical Yang-Baxter equation -- towards the gravity/CYBE correspondence
- Derivation of the action and symmetries of the \(q\)-deformed \({\mathrm{AdS}}_5\times S^5\) superstring
- Integrable deformations of strings on symmetric spaces
- An HHL 3-point correlation function in the \(\eta\)-deformed \(\mathrm{AdS}_5 \times S^5\)
- The anisotropic \(\lambda\)-deformed \(\mathrm{SU}(2)\) model is integrable
- Supergravity background of the \(\lambda\)-deformed \(\mathrm{AdS}_{3} \times S^{3}\) supercoset
- Yang-Baxter sigma models based on the CYBE
- On the quantization of continuous non-ultralocal integrable systems
- Generalized \(\lambda\)-deformations of \( \mathrm{dS}_{p} \times S^{p}\)
- Integrability of the bi-Yang-Baxter \(\sigma\)-model
- First-principles derivation of the AdS/CFT Y-systems
- \(\lambda\)-deformations of left-right asymmetric CFTs
- Abelian Yang-Baxter deformations and \(TsT\) transformations
- Quantum aspects of doubly deformed CFTs
- Fusion of line operators in conformal sigma-models on supergroups, and the Hirota equation
- On non-Abelian T-dual geometries with Ramond fluxes
- Integrable lambda models and Chern-Simons theories
- Lattice Wess-Zumino-Witten model and quantum groups
- On classical \(q\)-deformations of integrable \(\sigma\)-models
- Gauged WZW-type theories and the all-loop anisotropic non-Abelian Thirring model
- Non-Abelian bosonization in two dimensions
- Log-periodic behavior of finite size effects in field theories with RG limit cycles
- Restricted sine-Gordon theory and the minimal conformal series
- The classical Yang-Baxter equation and the associated Yangian symmetry of gauged WZW-type theories
- 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
- On integrable deformations of superstring sigma models related to \(\mathrm{AdS}_n \times \mathrm{S}^n\) supercosets
- Solvable lattice models related to the vector representation of classical simple Lie algebras
- Yang-Baxter equation and representation theory. I
- Quantum group symmetries and non-local currents in 2D QFT
- Hidden quantum groups inside Kac-Moody algebras
- Russian doll renormalization group and Kosterlitz-Thouless flows
- Integrable theories that are asymptotically CFT.
- A quantum field theory with infinite resonance states
- Finite-size effect of \(\eta\)-deformed \(\mathrm{AdS}_{5}\times S^{5}\) at strong coupling
- Target space supergeometry of \(\eta\) and \(\lambda\)-deformed strings
- Exploring the lambda model of the hybrid superstring
- Kappa-symmetry of superstring sigma model and generalized 10d supergravity equations
- Quantum spectral curve for the \(\eta\)-deformed \(\mathrm{AdS}_{5} \times S^{5}\) superstring
- Marginal and non-commutative deformations via non-abelian T-duality
- A new class of integrable deformations of CFTs
- Generalized IIB supergravity from exceptional field theory
- Giant magnons of string theory in the lambda background
- Integrable deformations of the \(\operatorname{G}_{k_1} \times \operatorname{G}_{k_2} / \operatorname{G}_{k_1 + k_2}\) coset CFTs
- Analytical structure of the generalized \(\lambda\)-deformation
- Yang Baxter and anisotropic sigma and lambda models, cyclic RG and exact S-matrices
- Combining the bi-Yang-Baxter deformation, the Wess-Zumino term and TsT transformations in one integrable \(\sigma\)-model
- Integrable flows between exact CFTs
- On non-abelian T-duality and deformations of supercoset string sigma-models
- Analytic integrability for strings on \(\eta\) and \(\lambda\) deformed backgrounds
- Classical and quantum aspects of Yang-Baxter Wess-Zumino models
- Alleviating the non-ultralocality of coset {\(\sigma\)}-models through a generalized Faddeev-Reshetikhin procedure
- Alleviating the non-ultralocality of the \(\mathrm{AdS}_5\times S^5\) superstring
- Poisson-Lie T-duals of the bi-Yang-Baxter models
- The sigma model (dual) representation for a two-parameter family of integrable quantum field theories
- The integrable harmonic map problem versus Ricci flow
- Duality symmetries from nonabelian isometries in string theory
- On nonabelian duality
- On non-abelian duality
- Some global aspects of duality in string theory
- Finite-size giant magnons on \(\eta\)-deformed \(\mathrm{AdS}_5 \times S^5\)
- Almost abelian twists and AdS/CFT
- The all-loop non-abelian Thirring model and its RG flow
- Double and cyclic \(\lambda\)-deformations and their canonical equivalents
- Integrable interpolations: From exact CFTs to non-abelian T-duals
- The exact spectrum and mirror duality of the \((\mathrm{AdS}_5\times S^5)_\eta\) superstring
- All-loop correlators of integrable \(\lambda\)-deformed \(\sigma\)-models
- On classical Yang-Baxter based deformations of the \(\mathrm{ADS}_5\times \mathrm{S}^5\) superstring
- Integrable \(\lambda\)-deformations: squashing coset CFTs and \(\mathrm{ AdS}_5\times S^5\)
- Beta function of \(k\) deformed \(\mathrm{AdS}_{5}\times S^{5}\) string theory
- On jordanian deformations of AdS5and supergravity
- Integrability of the ${\rm Ad}{{{\rm S}}_{5}}\times {{{\rm S}}^{5}}$ superstring and its deformations
- An integrable deformation of the AdS5×S5superstring
- Homogeneous Yang–Baxter deformations as non-abelian duals of theAdS5σ-model
- On integrability of the Yang–Baxter σ-model
- Renormalization group limit cycles and field theories for ellipticS-matrices
- S-matrices and quantum group symmetry ofk-deformed sigma models
- Thermodynamics of One-Dimensional Solvable Models
- Deformed integrableσ-models, classicalR-matrices and classical exchange algebra on Drinfel’d doubles
- S-matrices in integrable models of isotropic magnetic chains. I
- Quantum inverse scattering and the lambda deformed principal chiral model
- On Integrable Field Theories as Dihedral Affine Gaudin Models
- Exact results for integrable asymptotically-free field theories
- Eight-vertex model in lattice statistics and one-dimensional anisotropic Heisenberg chain. II: Equivalence to a generalized ice-type lattice model.
- Generalised integrable \(\lambda\)- and \(\eta\)-deformations and their relation
- \(\eta\) and \(\lambda\) deformations as \(\mathcal{E}\)-models
