We address the spectral problem of the formally normal quantum mechanical operator associated with the quantised mirror curve of the toric (almost) del Pezzo Calabi–Yau threefold called local \({\mathbb {P}}^2\) in the case of complex values of Planck’s constant. We show that the problem can be approached in terms of the Bethe ansatz-type highly transcendental equations.

中文翻译：

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关于局部$$ {\ mathbb {P}} ^ 2 $$ P 2镜像曲线的频谱

在复数情况下，我们解决了与复曲面（几乎）del Pezzo Calabi–Yau三重曲面的量化镜像曲线相关的形式上正常的量子力学算子的频谱问题，在复数情况下称为局部\（{\ mathbb {P}} ^ 2 \）普朗克常数的值。我们表明，可以通过Bethe ansatz型高度超越方程来解决该问题。