We consider a deformation of a family of hyperelliptic refined spectral curves and investigate how deformation effects appear in the hyperelliptic refined topological recursion as well as the \(\mathcal {Q}\)-top recursion. We then show a coincidence between a deformation condition and a quantisation condition in terms of the \(\mathcal {Q}\)-top recursion on a degenerate elliptic curve. We also discuss a relation to the corresponding Nekrasov–Shatashivili effective twisted superpotential.

中文翻译：

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$$\mathcal {Q}$$ -Top 递归的变形和量化条件

我们考虑一系列超椭圆精化谱曲线的变形，并研究变形效应如何出现在超椭圆精化拓扑递归以及\(\mathcal {Q}\) -top 递归中。然后，我们根据简并椭圆曲线上的\(\mathcal {Q}\)顶递归来展示变形条件和量化条件之间的一致性。我们还讨论了与相应的 Nekrasov-Shatashivili 有效扭曲超势的关系。