We construct a holographic dual theory of one-dimensional anisotropic Heisenberg spin chain, which includes two Chern-Simons gauge fields and a charged scalar field. Thermodynamic quantities of the spin chain at low temperatures, which are exactly calculated from the integrability, are completely reproduced by the dual theory on three-dimensional black hole backgrounds and the exact matching of the parameters between the dual theory and the spin chain is obtained. The holographic dual theory provides a new theoretical framework to analyze the quantum spin chain and one-dimensional quantum many-body systems.

中文翻译：

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作为陈-西蒙斯标量理论的量子自旋链的全息对偶

我们构建了一个一维各向异性海森堡自旋链的全息对偶理论，其中包括两个陈-西蒙斯规范场和一个带电标量场。利用可积性精确计算出的低温自旋链热力学量，在三维黑洞背景下通过对偶理论完整再现，并获得了对偶理论与自旋链参数的精确匹配。全息对偶理论为分析量子自旋链和一维量子多体系统提供了新的理论框架。