Quasiclassical asymptotics of solutions to the KZ equations

Feb, 1994
25 pages
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Abstract:
Quasiclassical asymptotics of solutions to the Knizhnik-Zamolodchikov equation are constructed. The first term of asymptotics is an eigenvector of a system of commuting operators and is a Bethe vector for the Gaudin model of an inhomogeneous magnetic chain. We show that the norm of this vector is proportional 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.