Asymptotic Solutions to the Knizhnik-Zamolodchikov Equation and Crystal Base

Details Asymptotic Solutions to the Knizhnik-Zamolodchikov Equation and Crystal Base Asymptotic Solutions to the Knizhnik-Zamolodchikov Equation and Crystal Base

1994-03-17

arxiv.org/abs/hep-th/9403102v1

Physics

High Energy Physics

High Energy Physics - Theory

43 pages, amstex

Scientific paper

10.1007/BF02103772

The Knizhnik-Zamolodchikov equation associated with $s\ell_2$ 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 group $U_qs\ell_2$ is established, in particular, a correspondence between the Bethe vectors of the Gaudin model of an inhomogenious magnetic chain and the $\Bbb Q-$basis of the crystal base.

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