Solutions to the Quantized Knizhnik-Zamolodchikov Equation and the Bethe Ansatz
| dc.creator | Tarasov, V. | |
| dc.creator | Varchenko, A. | |
| dc.date | 1994-11-24 | |
| dc.date.accessioned | 2026-07-25T21:42:23Z | |
| dc.description | We give an integral representation for solutions to the quantized Knizhnik- Zamolodchikov equation (qKZ) associated with the Lie algebra $gl_{N+1}$. Asymptotic solutions to qKZ 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 a generalization of the Gaudin-Korepin formula for a norm of the Bethe vector. We show that, generically, the Bethe vectors form a base for the $gl_2$ case. | |
| dc.description | 6 pages, amstex.tex (ver 2.1), amsppt.sty (ver 2.1) | |
| dc.identifier | https://arxiv.org/abs/hep-th/9411181 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9411181 | |
| dc.identifier.uri | https://dspace.dare.co.zw/handle/123456789/82091 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Solutions to the Quantized Knizhnik-Zamolodchikov Equation and the Bethe Ansatz | |
| dc.type | text |