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arXiv · 2312.08842

$Q$-functions for lambda opers

Davide Masoero·Evgeny Mukhin·Andrea Raimondo
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Abstract

We consider the Schr\"odinger operators which are constructed from the $\lambda$-opers corresponding to solutions of the $\widehat{\mathfrak{sl}}_2$ Gaudin Bethe Ansatz equations. We define and study the connection coefficients called the $Q$-functions. We conjecture that the $Q$-functions obtained from the $\lambda$-opers coincide with the $Q$-functions of the Bazhanov-Lukyanov-Zamolodchikov opers with the monster potential related to the quantum KdV flows. We give supporting evidence for this conjecture.

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Davide Masoero, Evgeny Mukhin, Andrea Raimondo. 2023-12-14. $Q$-functions for lambda opers. https://arxiv.org/abs/2312.08842

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