Elliptic Algebra and Integrable Models for Solitons on Noncommutative Torus T
Abstract
We study the algebra An, the basis of the Hilbert space Hn in terms of θ functions of the positions of n solitons. Then we embed the Heisenberg group as the quantum operator factors in the representation of the transfer matrices of various integrable models. Finally we generalize our result to the generic θ case.
- Publication:
-
International Journal of Modern Physics B
- Pub Date:
- 2002
- DOI:
- 10.1142/S0217979202011822
- arXiv:
- arXiv:hep-th/0111094
- Bibcode:
- 2002IJMPB..16.2079H
- Keywords:
-
- 11.90.+t;
- 11.25.-w;
- Other topics in general theory of fields and particles;
- Strings and branes;
- High Energy Physics - Theory
- E-Print:
- Talk given by Bo-Yu Hou at the Joint APCTP-Nankai Symposium. Tianjin (PRC), Oct. 2001. To appear in the proceedings, to be published by Int. J. Mod. Phys. B. 7 pages, latex, no figures