Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2001-11-11
Int.J.Mod.Phys. B16 (2002) 2079-2088
Physics
High Energy Physics
High Energy Physics - Theory
Talk given by Bo-Yu Hou at the Joint APCTP-Nankai Symposium. Tianjin (PRC), Oct. 2001. To appear in the proceedings, to be pub
Scientific paper
10.1142/S0217979202011822
We study the algebra ${\cal A}_n$ and the basis of the Hilbert space ${\cal
H}_n$ in terms of the $\theta$ functions of the positions of $n$ solitons. Then
we embed the Heisenberg group as the quantum operator factors in the
representation of the transfer matrice of various integrable models. Finally we
generalize our result to the generic $\theta$ case.
Hou Bo-Yu
Peng Dan-Tao
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