Abstract
We prove a conjecture from Ref.1 on the asymptotics of the composition of n quantum vertex operators for the quantum affine algebra Inline Equation
as n goes to oo. 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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References
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Etingof, P.I. (1999). On the Spectral Theory of Quantum Vertex Operators. In: Semenoff, G., Vinet, L. (eds) Particles and Fields. CRM Series in Mathematical Physics. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-1410-6_10
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DOI: https://doi.org/10.1007/978-1-4612-1410-6_10
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-7133-8
Online ISBN: 978-1-4612-1410-6
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