Topological field theory and the quantum double of \(\text{SU}(2)\)
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Publication:1570609
DOI10.1016/S0550-3213(98)00572-0zbMath0961.81100arXivhep-th/9804130OpenAlexW2100748192MaRDI QIDQ1570609
N. M. Muller, F. Alexander Bais
Publication date: 11 July 2000
Published in: Nuclear Physics. B (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/hep-th/9804130
Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Yang-Mills and other gauge theories in quantum field theory (81T13) Topological field theories in quantum mechanics (81T45) Symplectic structures of moduli spaces (53D30)
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Cites Work
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- \(2+1\)-dimensional gravity as an exactly soluble system
- (Spontaneously broken) Abelian Chern-Simons theories
- Topological gauge theories and group cohomology
- Quantum field theory and the Jones polynomial
- Tensor product representations of the quantum double of a compact group
- Quantum group symmetry and particle scattering in \((2+1)\)-dimensional quantum gravity
- RECONSTRUCTING THE METRIC OF SPACE-TIME FROM CHERN-SIMONS GRAVITY WITH POINT SOURCES
- Gravity and the Poincaré group
- Significance of Electromagnetic Potentials in the Quantum Theory
- Semidirect Products and Reduction in Mechanics
- Representations of a semi-direct product by quantization
- INTRODUCTION TO QUANTIZED LIE GROUPS AND ALGEBRAS
- Clebsch-Gordan coefficients and special functions related to the Euclidean group in three-space
- Quantum Groups in Two-Dimensional Physics
- Hamiltonian reduction of unconstrained and constrained systems
- Quasi Hopf algebras, group cohomology and orbifold models
