Abstract
The Knizhnik-Zamolodchikov equation associated withsl 2 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 groupU q sl 2 is established, in particular, a correspondence between the Bethe vectors of the Gaudin model of an inhomogeneous magnetic chain and the Q-basis of the crystal base.
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Communicated by G. Felder
Dedicated to the memory of Ansgar Schnizer
The author was supported by NSF Grant DMS-9203929
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Varchenko, A.N. Asymptotic solutions to the Knizhnik-Zamolodchikov equation and crystal base. Commun.Math. Phys. 171, 99–137 (1995). https://doi.org/10.1007/BF02103772
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DOI: https://doi.org/10.1007/BF02103772