Asymptotic Solutions to the Knizhnik-Zamolodchikov Equation and Crystal Base
Abstract
The Knizhnik-Zamolodchikov equation associated with s2 is considered. The transition functions between asymptotic solutions to the Knizhnik-Zamolodchikov equation are described. A connection between asymptotic solutions and the crystal base in the tensor product of modules over the quantum group Uqs2 is established, in particular, a correspondence between the Bethe vectors of the Gaudin model of an inhomogenious magnetic chain and the Q-basis of the crystal base.
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