Remarks on critical points of phase functions and norms of Bethe vectors
Mukhin, Evgeny ; Varchenko, Alexander
arXiv, 9810087 / Harvested from arXiv
Text on arXiv
We consider a tensor product of a Verma module and the linear representation of $sl(n+1)$. We prove that the corresponding phase function, which is used in the solutions of the KZ equation with values in the tensor product, has a unique critical point and show that the Hessian of the logarithm of the phase function at this critical point equals the Shapovalov norm of the corresponding Bethe vector.
Publié le : 1998-10-14
Classification:  Mathematics - Representation Theory,  Mathematical Physics,  Latex, 5 pages 
@article{9810087,
     author = {Mukhin, Evgeny and Varchenko, Alexander},
     title = {Remarks on critical points of phase functions and norms of Bethe vectors},
     journal = {arXiv},
     volume = {1998},
     number = {0},
     year = {1998},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9810087}
}

Mukhin, Evgeny; Varchenko, Alexander. Remarks on critical points of phase functions and norms of Bethe vectors. arXiv, Tome 1998 (1998) no. 0, . http://gdmltest.u-ga.fr/item/9810087/