Explicit trigonometric Yang-Baxterization
- Inst. for Theoretical Physics, State Univ. of New York at Stony Brook, Stony Brook, NY (US)
- Inst. for Advanced Study, Princeton, NJ (US)
- Theoretical Physics Div., Nankai Inst. of Mathematics, Tianjin 300071 (CN)
This paper presents an explicit prescription for trigonometric Yang--Baxterization. Given a braid group representation (BGR) in appropriate form, the authors' prescription generates explicit solutions to the quantum Yang--Baxter equations (QYBE). The authors have proved the correctness of this prescription, together with a variation of it, for BGR's having two or three unequal eigenvalues. All the known explicit results obtained by Jimbo and Bazhanov are reproduced. More YB solutions are obtained from standard BGR's associated with fundamental and higher dimensional representations of simple Lie algebras. Our prescription also applies to the new nonstandard BGR's, which are beyond the reach of present quantum group techniques but obtainable by our previous direct method.
- OSTI ID:
- 5675232
- Journal Information:
- International Journal of Modern Physics A; (United States), Vol. 6:21; ISSN 0217-751X
- Country of Publication:
- United States
- Language:
- English
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661100* - Classical & Quantum Mechanics- (1992-)
662110 - General Theory of Particles & Fields- Theory of Fields & Strings- (1992-)