Critical Points of the Product of Powers of Linear Functions and Families of Bases of Singular Vectors
| dc.creator | Varchenko, Alexander | |
| dc.date | 1993-12-14 | |
| dc.date.accessioned | 2026-07-07T09:14:11Z | |
| dc.date.available | 2026-07-07T09:14:11Z | |
| dc.description | The quasiclassical asymptotics of the Knizhnik-Zamolodchikov equation with values in the tensor product of sl(2)- representations are considered. The first term of asymptotics is an eigenvector of a system of commuting operators. We show that the norm of this vector with respect to the Shapovalov form is equal to the determinant of the matrix of second derivatives of a suitable function. This formula is an analog of the Gaudin and Korepin formulae for the norm of the Bethe vectors. We show that the eigenvectors form a basis under certain conditions. | |
| dc.description | 15 pages, no figures, posted by Pavel Etingof by the author's request | |
| dc.identifier | https://arxiv.org/abs/hep-th/9312119 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9312119 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/152586 | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Quantum Algebra | |
| dc.title | Critical Points of the Product of Powers of Linear Functions and Families of Bases of Singular Vectors | |
| dc.type | text |