Asymptotic Solutions to the Quantized Knizhnik-Zamolodchikov Equation and Bethe Vectors
| dc.creator | Tarasov, Vitaly | |
| dc.creator | Varchenko, Alexander | |
| dc.date | 1994-06-09 | |
| dc.date | 1996-05-24 | |
| dc.date.accessioned | 2026-07-07T09:03:41Z | |
| dc.date.available | 2026-07-07T09:03:41Z | |
| dc.description | Asymptotic solutions to the quantized Knizhnik-Zamolodchikov equation associated with $\frak{gl}_{N+1}$ are constructed. The leading term of an asymptotic solution is the Bethe vector -- an eigenvector of the transfer-matrix of a quantum spin chain model. We show that the norm of the Bethe vector is equal to the product of the Hessian of a suitable function and an explicitly written rational function. This formula is an analogue of the Gaudin-Korepin formula for the norm of the Bethe vector. It is shown that, generically, the Bethe vectors form a base for the $\frak{gl}_2$ case. | |
| dc.description | 30 pages. Minor misprints are corrected | |
| dc.identifier | https://arxiv.org/abs/hep-th/9406060 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9406060 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/149101 | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Quantum Algebra | |
| dc.title | Asymptotic Solutions to the Quantized Knizhnik-Zamolodchikov Equation and Bethe Vectors | |
| dc.type | text |