Deformation and Quantisation Condition of the $\mathcal {Q}$-Top Recursion

IF 1.4 3区物理与天体物理 Q2 PHYSICS, MATHEMATICAL

Annales Henri Poincaré Pub Date : 2024-02-21 DOI:10.1007/s00023-024-01421-6

Kento Osuga

引用次数: 0

Abstract

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.

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$$\mathcal {Q}$$ -顶递归的变形和量化条件

我们考虑了超椭圆精炼谱曲线族的变形，并研究了变形效应如何出现在超椭圆精炼拓扑递推以及（\mathcal {Q}\）-顶递推中。然后，我们用退化椭圆曲线上的$\mathcal {Q}$-顶递推来证明变形条件和量子化条件之间的重合。我们还讨论了与相应的涅克拉索夫-沙塔什维利有效扭曲超势的关系。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Annales Henri Poincaré 物理-物理：粒子与场物理

CiteScore

3.00

自引率

6.70%

发文量

108

审稿时长

6-12 weeks

期刊介绍： The two journals Annales de l''Institut Henri Poincaré, physique théorique and Helvetica Physical Acta merged into a single new journal under the name Annales Henri Poincaré - A Journal of Theoretical and Mathematical Physics edited jointly by the Institut Henri Poincaré and by the Swiss Physical Society. The goal of the journal is to serve the international scientific community in theoretical and mathematical physics by collecting and publishing original research papers meeting the highest professional standards in the field. The emphasis will be on analytical theoretical and mathematical physics in a broad sense.

Deformation and Quantisation Condition of the \(\mathcal {Q}\)-Top Recursion

Abstract