Combinatorial quantization of the Hamiltonian Chern-Simons theory. II
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Publication:1908078
DOI10.1007/BF02101528zbMath0842.58038arXivhep-th/9408097OpenAlexW4243077008MaRDI QIDQ1908078
Volker Schomerus, Anton Yu. Alekseev, Harald Grosse
Publication date: 12 August 1996
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/hep-th/9408097
deformationquantizationVerlinde algebraHamiltonian Chern-Simons theoryquantum gauge groupquantized moduli spacequantum Wilson lines
Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Quantization in field theory; cohomological methods (81T70) Geometric quantization (53D50)
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Cites Work
- Unnamed Item
- Unnamed Item
- Central extensions of quantum current groups
- Fusion rules and modular transformations in 2D conformal field theory
- Geometric quantization of Chern-Simons gauge theory
- Current algebras and Wess-Zumino model in two dimensions
- Quantum field theory and the Jones polynomial
- Action of truncated quantum groups on quasi-quantum planes and a quasi-associative differential geometry and calculus
- Relativistic Calogero-Moser model as gauged WZW theory.
- Ribbon graphs and their invariants derived from quantum groups
- Construction of field algebras with quantum symmetry from local observables
- Algebraic index theorem
- Combinatorial quantization of the Hamiltonian Chern-Simons theory. I
- Two dimensional lattice gauge theory based on a quantum group
- Derivation of the Verlinde formula from Chern-Simons theory and the \(G/G\) model.
- Invariants of 3-manifolds via link polynomials and quantum groups
- Representation theory of Chern-Simons observables
- q-DEFORMED LATTICE GAUGE THEORY AND 3-MANIFOLD INVARIANTS
- BRAID STATISTICS IN LOCAL QUANTUM THEORY
