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arXiv 2307.02112math-phhep-thmath.AGmath.MP
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$\boldsymbol{\text{mathscr{Q}}}$-top递归的形变与量子化条件

Deformation and quantisation condition of the $\mathscr{Q}$-top recursion

Kento Osuga

AI总结:

该文研究超椭圆精细化谱曲线的形变对$\text{mathscr{Q}}$-top递归等的影响,证明退化椭圆曲线上该递归的形变条件与量子化条件一致,并探讨其与Nekrasov-Shatashivili有效扭曲超势的关联。

摘要:

我们研究一类超椭圆精细化谱曲线的形变,探究形变效应在超椭圆精细化拓扑递归以及$\boldsymbol{\text{mathscr{Q}}}$-top递归中的表现形式。随后我们证明,在退化椭圆曲线上的$\boldsymbol{\text{mathscr{Q}}}$-top递归框架下,形变条件与量子化条件是一致的。我们还讨论了其与对应的Nekrasov-Shatashivili有效扭曲超势的关联。

英文摘要:

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 $\mathscr{Q}$-top recursion. We then show a coincidence between a deformation condition and a quantisation condition in terms of the $\mathscr{Q}$-top recursion on a degenerate elliptic curve. We also discuss a relation to the corresponding Nekrasov-Shatashivili effective twisted superpotential.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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