On spectral theory of quantum vertex operators

Details On spectral theory of quantum vertex operators On spectral theory of quantum vertex operators

1994-10-27

arxiv.org/abs/hep-th/9410208v1

Physics

High Energy Physics

High Energy Physics - Theory

14 pages

Scientific paper

In this note we prove the Davies-Foda-Jimbo-Miwa-Nakayashiki conjecture on the asymptotics of the composition of n quantum vertex operators for the quantum affine algebra U_q(\hat sl_2), as n goes to infinity. For this purpose we define and study the leading eigenvalue and eigenvector of the product of two components of the quantum vertex operator. This eigenvector and the corresponding eigenvalue were recently computed by M.Jimbo. The results of his computation are given in Section 4.

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