Two Dimensional Cyclic Representations of U<SUB>q</SUB>(sl<SUB>2</SUB>)and 8-Vertex Ising Model

Zhang Jun; Yang Guangcan; Yan Hong

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2024年10月30日

Chinese Physics C> 1995, Vol. 19> Issue(11) : 1005-1011

Two Dimensional Cyclic Representations of U_q(sl₂)and 8-Vertex Ising Model

Institute of Theoretical Physics,The Chinese Academy of Sciences,Beijing 100080

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Abstract：
We give explicitly the 2-dimensional cyclic representations of quantum algebra U_q(sl₂)with central extension.The intertwiner for tensor representations in different ordersis constructed with C-G coefficients.This intertwiner is shown to be the R -matrix for eight vertex Ising model.

References

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Zhang Jun, Yang Guangcan and Yan Hong. Two Dimensional Cyclic Representations of U_q(sl₂)and 8-Vertex Ising Model[J]. Chinese Physics C, 1995, 19(11): 1005-1011.

Zhang Jun, Yang Guangcan and Yan Hong. Two Dimensional Cyclic Representations of U_q(sl₂)and 8-Vertex Ising Model[J]. Chinese Physics C, 1995, 19(11): 1005-1011. shu

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Received: 1900-01-01
Revised: 1900-01-01

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1.
沈阳化工大学材料科学与工程学院沈阳 110142

Two Dimensional Cyclic Representations of U_q(sl₂)and 8-Vertex Ising Model

Corresponding author: Zhang Jun,

Institute of Theoretical Physics,The Chinese Academy of Sciences,Beijing 100080

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1995-11-15

Abstract: We give explicitly the 2-dimensional cyclic representations of quantum algebra U_q(sl₂)with central extension.The intertwiner for tensor representations in different ordersis constructed with C-G coefficients.This intertwiner is shown to be the R -matrix for eight vertex Ising model.