A Generalized Q-operator for U_q(\hat(sl_2)) Vertex Models
| dc.creator | Rossi, Marco | |
| dc.creator | Weston, Robert | |
| dc.date | 2002-07-01 | |
| dc.date | 2002-10-02 | |
| dc.date.accessioned | 2026-07-07T10:50:33Z | |
| dc.date.available | 2026-07-07T10:50:33Z | |
| dc.description | In this paper, we construct a Q-operator as a trace of a representation of the universal R-matrix of $U_q(\hat{sl}_2)$ over an infinite-dimensional auxiliary space. This auxiliary space is a four-parameter generalization of the q-oscillator representations used previously. We derive generalized T-Q relations in which 3 of these parameters shift. After a suitable restriction of parameters, we give an explicit expression for the Q-operator of the 6-vertex model and show the connection with Baxter's expression for the central block of his corresponding operator. | |
| dc.description | 22 pages, Latex2e. This replacement is a revised version that includes a simple explicit expression for the Q matrix for the 6-vertex model | |
| dc.identifier | https://arxiv.org/abs/math-ph/0207004 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0207004 | |
| dc.identifier | J.Phys.A35:10015-10032,2002 | |
| dc.identifier | doi:10.1088/0305-4470/35/47/304 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/184570 | |
| dc.subject | Mathematical Physics | |
| dc.subject | Statistical Mechanics | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Quantum Algebra | |
| dc.subject | 82B23 (Primary) 81R12, 81T40 (Secondary) | |
| dc.title | A Generalized Q-operator for U_q(\hat(sl_2)) Vertex Models | |
| dc.type | text |