Lattice Wess-Zumino-Witten model and quantum groups
From MaRDI portal
Publication:687745
DOI10.1016/0393-0440(93)90056-KzbMath0785.17013arXivhep-th/9209076OpenAlexW2035215751MaRDI QIDQ687745
Krzysztof Gawędzki, Fernando Falceto
Publication date: 26 April 1994
Published in: Journal of Geometry and Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/hep-th/9209076
Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40)
Related Items (27)
DIAGONAL CROSSED PRODUCTS BY DUALS OF QUASI-QUANTUM GROUPS ⋮ “Spread” Restricted Young Diagrams from a 2D WZNW Dynamical Quantum Group ⋮ (T*ℬ)q, q-analog of model space and the Clebsch–Gordan coefficients generating matrices ⋮ Canonical quantization of the boundary Wess-Zumino-Witten model ⋮ Deformed integrableσ-models, classicalR-matrices and classical exchange algebra on Drinfel’d doubles ⋮ Lattice conformal theories and their integrable perturbations ⋮ ON CANONICAL QUANTIZATION OF THE GAUGED WZW MODEL WITH PERMUTATION BRANES ⋮ The chiral WZNW phase space as a quasi-Poisson space ⋮ QUASITRIANGULAR WZW MODEL ⋮ Generalized dualities and higher derivatives ⋮ Conformal field theory at the lattice level: discrete complex analysis and Virasoro structure ⋮ Operator realization of the SU(2) WZNW model ⋮ Defects in \(G/H\) coset, \(G/G\) topological field theory and discrete Fourier-Mukai transform ⋮ The Schwarzian theory -- a Wilson line perspective ⋮ Cyclic quantum dilogarithm, shift operator and star-square relation of the BB model ⋮ Integrable lambda models and Chern-Simons theories ⋮ CANONICAL QUANTIZATION OF THE WZW MODEL WITH DEFECTS AND CHERN–SIMONS THEORY ⋮ Quantum group generators in conformal field theory ⋮ The chiral WZNW phase space and its Poisson-Lie groupoid ⋮ Shift operator for nonabelian lattice current algebra ⋮ Alleviating the non-ultralocality of coset {\(\sigma\)}-models through a generalized Faddeev-Reshetikhin procedure ⋮ Quantisation of the \(\text{SU}(N)\) WZW model at level \(k\) ⋮ Chiral extensions of the WZNW phase space, Poisson-Lie symmetries and groupoids ⋮ Poisson reduction of the lattice Kac-Moody algebra ⋮ Quantum anisotropic sigma and lambda models as spin chains ⋮ Fine structure of Jackiw-Teitelboim quantum gravity ⋮ From chiral to two-dimensional Wess-Zumino-Novikov-Witten model via quantum gauge group
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Exchange formula and lattice deformation of the Virasoro algebra
- Classical exchange algebras in the Wess-Zumino-Witten model
- \(U_q(\mathrm{sl}(2))\) invariant operators and minimal theories fusion matrices
- On the exchange matrix for WZNW model
- Fock representations and BRST cohomology in \(\mathrm{SL}(2)\) current algebra
- Quantization of the Wess-Zumino-Witten model on a circle.
- A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
- Fock representations of the affine Lie algebra \(A_ 1^{(1)}\)
- Quantum field theory and the Jones polynomial
- Poisson Lie groups, dressing transformations, and Bruhat decompositions
- Twisted \(\text{SU}(2)\) group. An example of a non-commutative differential calculus
- Quantum \(\text{sl}_ n\) Toda field theories.
- Quantum groups and WZNW models
- Dressing symmetries
- Duality and quantum groups
- State sum invariants of 3-manifolds and quantum \(6j\)-symbols
- Invariants of 3-manifolds via link polynomials and quantum groups
- Classical origin of quantum group symmetries in Wess-Zumino-Witten conformal field theory
- Miura transformation on a lattice
- Dressing transformations and Poisson group actions
- Geometry of Wess-Zumino-Witten models of conformal field theory
- Hidden quantum groups inside Kac-Moody algebras
This page was built for publication: Lattice Wess-Zumino-Witten model and quantum groups