An introduction to gauge-gravity duality and its application in condensed matter
An introduction to gauge-gravity duality and its application in condensed matter
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DOI：
10.1080/00107514.2013.779477
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发表时间：
2013-02
影响因子：
2
通讯作者：
A. Green
中科院分区：
文献类型：
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作者：
A. Green
过去几年见证了弦理论思想从抽象的几何形式世界到具体的凝聚态物理实验领域的显著跨越。这一理论的基础——以不同的方式被称为全息术、AdS/CFT对应或量规-重力二象性——来自弦理论的前沿概念。然而，所提供的见解通常可以用凝聚态物理学家非常熟悉的方式来表达。这篇简短的介绍性评论的目的是调查支撑这一交叉的思想，以一种尽可能剥离复杂的数学形式主义的方式，同时保留其基本本质。我将概述迄今取得进展的领域，并强调挑战和悬而未决的问题所在。最后，我将尝试对这些观点给出一个视角。我们能从这种方法中得到什么实际的贡献？它如何被纳入凝聚态理论的经典？不可避免的是，在这样一个快速发展的领域，任何这样做的尝试都将被事件所取代。尽管如此，我希望这将提供一种有用的方法来思考量规重力对偶性以及它可能带我们走向的未知方向。
Abstract The past few years have witnessed a remarkable crossover of string theoretical ideas from the abstract world of geometrical forms to the concrete experimental realm of condensed matter physics. The basis for this – variously known as holography, the AdS/CFT correspondence or gauge-gravity duality – comes from notions right at the cutting edge of string theory. Nevertheless, the insights afforded can often be expressed in ways very familiar to condensed matter physicists. The aim of this short, introductory review is to survey the ideas underpinning this crossover, in a way that – as far as possible – strips them of sophisticated mathematical formalism, whilst at the same time retaining their fundamental essence. I will sketch the areas in which progress has been made to date and highlight where the challenges and open questions lie. Finally, I will attempt to give a perspective upon these ideas. What contribution can we realistically expect from this approach and how might it be accommodated into the canon of condensed matter theory? Inevitably, any attempt to do this in such a rapidly evolving field will be superseded by events. Nevertheless, I hope that this will provide a useful way to think about gauge-gravity duality and the uncharted directions in which it might take us.