Quantum groups and WZNW models
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Publication:1173852
DOI10.1007/BF02097372zbMath0748.17009OpenAlexW2040270541MaRDI QIDQ1173852
Samson L. Shatashvili, Anton Yu. Alekseev
Publication date: 25 June 1992
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02097372
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
Quantization of a loop extended SU(2) affine Kac–Moody algebra ⋮ Canonical quantization of the boundary Wess-Zumino-Witten model ⋮ Deformed integrableσ-models, classicalR-matrices and classical exchange algebra on Drinfel’d doubles ⋮ Classical origin of quantum group symmetries in Wess-Zumino-Witten conformal field theory ⋮ Hidden quantum group symmetry in the chiral model ⋮ Lattice conformal theories and their integrable perturbations ⋮ Defect loops in gauged Wess-Zumino-Witten models ⋮ More on U q(su(1,1)) with q a root of unity ⋮ Coadjoint Orbits, Cocycles and Gravitational Wess–Zumino ⋮ Quadratic brackets from symplectic forms ⋮ Towards the quantum S-matrix of the Pohlmeyer reduced version of \(AdS_5 \times S^5\) superstring theory ⋮ Lattice Wess-Zumino-Witten model and quantum groups ⋮ Hidden quantum groups inside Kac-Moody algebras ⋮ Quasi-quantum groups, knots, three-manifolds, and topological field theory ⋮ A relativistic relative of the magnon S-matrix ⋮ Hecke algebraic properties of dynamical R -matrices. Application to related quantum matrix algebras ⋮ Quantisation of the \(\text{SU}(N)\) WZW model at level \(k\) ⋮ Chiral extensions of the WZNW phase space, Poisson-Lie symmetries and groupoids ⋮ Quantization of the Wess-Zumino-Witten model on a circle. ⋮ New Semiclassical Non-Abelian Vertex Operators for Chiral and Nonchiral WZW Theory
Cites Work
- Unnamed Item
- Hidden SL(n) symmetry in conformal field theories
- The quantum group structure associated with non-linearly extended Virasoro algebras
- On the exchange matrix for WZNW model
- Classical and quantum conformal field theory
- Braid matrices and structure constants for minimal conformal models
- From geometric quantization to conformal field theory
- A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
- Fock representations of the affine Lie algebra \(A_ 1^{(1)}\)
- Vertex operators in the conformal field theory on \(\mathbb P^1\) and monodromy representations of the braid group
- Current algebras and Wess-Zumino model in two dimensions
- Quantum field theory and the Jones polynomial
- Quantum version of the method of inverse scattering problem
- Dressing transformations and Poisson group actions
- Quantum groups
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