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Modern Physics Letters A (MPLA)
Particles and Fields; Gravitation; Cosmology and Nuclear Physics
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Volume: 6, Issue: 11(1991) pp. 959-968     DOI: 10.1142/S0217732391001007
Abstract | Full Text (PDF, 364KB)
Title: QUANTUM LIE SUPERALGEBRAS AND “NON-STANDARD” BRAID GROUP REPRESENTATIONS
This work is supported in part by the National Natural Science Foundation of China, Institute of High Energy Physics and Institute of Thoeretical Physics, Academia Sinica.
Author(s):
LI LIAO
CCAST (World Laboratory), P.O. Box 8730, Beijing 100080, China

Permanent address: Department of Physics, Peking University, Beijing 100871, China

XING-CHANG SONG
CCAST (World Laboratory), P.O. Box 8730, Beijing 100080, China

Permanent address: Department of Physics, Peking University, Beijing 100871, China

Institute of Theoretical Physics, Academia Sinica, Beijing 100080, China
History:
Received 29 September 1990
Revised 16 January 1991
Abstract:
The formulae of the Faddeev-Reshetikhin-Takhtajan (FRT) method in supersymmetric case are presented transparently and consistently. With the help of these formulae, the simplest “non-standard” solution of braid group representation (BGR) is re-examined. The result shows that the hidden symmetry associated with this “non-standard” BGR is indeed the q-deformed Lie superalgebra Uq (gl(1|1)).

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