A remark on the integrals of motion associated with level $k$ realization of the elliptic algebra $U_{q,p}(sl_2^)$
| dc.creator | Kojima, T. | |
| dc.creator | Shiraishi, J. | |
| dc.date | 2008-10-16 | |
| dc.date.accessioned | 2026-07-07T10:10:38Z | |
| dc.date.available | 2026-07-07T10:10:38Z | |
| dc.description | We give one parameter deformation of level $k$ free field realization of the screening current of the elliptic algebra $U_{q,p}(sl_2^)$. By means of these free field realizations, we construct infinitly many commutative operators, which we call the nonlocal integrals of motion associated with level $k$ realization of the elliptic algebra $U_{q,p}(sl_2^)$. They are given as integrals involving a product of the screening current and elliptic theta functions. This paper give level $k$ generalization of the nonlocal integrals of motion given in [arXiv:0705.0427]. | |
| dc.identifier | https://arxiv.org/abs/0810.2881 | |
| dc.identifier | http://arxiv.org/abs/0810.2881 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/171652 | |
| dc.subject | Exactly Solvable and Integrable Systems | |
| dc.title | A remark on the integrals of motion associated with level $k$ realization of the elliptic algebra $U_{q,p}(sl_2^)$ | |
| dc.type | text |