Quantum Lie Superalgebras and q Oscillators
Sep, 19899 pages
Published in:
- Phys.Lett.B 234 (1990) 72-80
- Published: 1990
Report number:
- HU-TFT-89-39
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Abstract: (Elsevier)
Quantum deformation of the simple Lie superalgebras is formulated applying both the method of the Cartan matrix and R -matrix approach. Using the quantum analogue of Bose and Fermi oscillators, the realization of quantum sl q ( n | m ) generators is given. The q -oscillators are obtained from the quantum algebra itself by the contraction method. Multimode representations in terms of q -oscillators require nontrivial couplings between the different modes. Possible applications are outlined.- algebra: Lie
- supersymmetry
- algebra: representation
- model: oscillator
- quantum group
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