Holographic duality conjecture has been proposed to be a novel non-perturbative theoretical framework for the description of strongly correlated electrons. However, the duality transformation is not specified to cause ambiguity in the application of this theoretical machinery to condensed matter physics. In this study, we propose a prescription for the holographic duality transformation. Based on recursive renormalization group (RG) transformations, we obtain an effective field theory, which manifests the RG flow of an effective action through the introduction of an extra dimension. Resorting to this prescription, we show that RG equations of all coupling constants are reformulated as emergent geometry with an extra dimension. We claim that the present prescription serves as microscopic foundation for the application of the holographic duality conjecture to condensed matter physics.

全息对偶猜想已被提出为描述强相关电子的一种新颖的非扰动理论框架。但是，在将这种理论机制应用于凝聚态物理中时，并未指定对偶变换引起歧义。在这项研究中，我们提出了全息对偶变换的处方。基于递归重整化组（RG）转换，我们获得了有效的场论，该理论通过引入额外的维度来体现有效动作的RG流动。根据该规定，我们表明所有耦合常数的RG方程都被重新构造为具有额外尺寸的紧急几何。