It has long been expected that the 3d Ising model can be thought of as a string theory, where one interprets the domain walls that separate up spins from down spins as two-dimensional string worldsheets. The usual Ising Hamiltonian measures the area of these domain walls. This theory has string coupling of unit magnitude. We add new local terms to the Ising Hamiltonian that further weight each spin configuration by a factor depending on the genus of the corresponding domain wall, resulting in a new 3d Ising model that has a tunable bare string coupling $g_s$. We use a combination of analytical and numerical methods to analyze the phase structure of this model as $g_s$ is varied. We study statistical properties of the topology of worldsheets and discuss the prospects of using this new deformation at weak string coupling to find a worldsheet description of the 3d Ising transition.

中文翻译：

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使用弱耦合弦论对偶的3d Ising模型

长期以来，人们一直将3d Ising模型视为一种弦论，人们将将向上旋转和向下旋转分开的畴壁解释为二维字符串世界表。通常的伊辛哈密顿量度这些畴壁的面积。该理论具有单位量级的弦耦合。我们向伊辛哈密顿量添加新的本地术语，以根据相应域壁的属类进一步加权每个自旋配置一个系数，从而生成一个新的3d伊辛模型，该模型具有可调的裸字符串耦合$ g_s $。当$ g_s $变化时，我们使用分析和数值方法的组合来分析此模型的相结构。