Deformed algebras from the inverse Schwinger method
Abstract
We consider a problem which may be viewed as an inverse one to the Schwinger realization of Lie algebra, and suggest a procedure of deforming the so-obtained algebra. We illustrate the method through a few simple examples extending Schwinger's $su(1,1)$ construction. As results, various q-deformed algebras are (re-)produced as well as their undeformed counterparts. Some extensions of the method are pointed out briefly.
- Publication:
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Journal of Physics A Mathematical General
- Pub Date:
- February 1995
- DOI:
- 10.1088/0305-4470/28/4/023
- arXiv:
- arXiv:hep-th/9406084
- Bibcode:
- 1995JPhA...28.1005C
- Keywords:
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- High Energy Physics - Theory
- E-Print:
- 14 pages, Jeonju University Report, Latex