Melvin宇宙中的D3膜：引力全息术的新领域
D3 branes in a Melvin universe: a new realm for gravitational holography
摘要：
在梅尔文宇宙中，D3膜的某种构型的退耦极限定义了弦论的一个部分，称为泡芙场论（PFT）--一种具有非定域动力学但没有引力的理论。在这项工作中，我们提出了一个系统的分析，利用引力全息的强耦合PFT的非局域态。我们被引导到一个非凡的新全息字典。我们表明，该理论承认的状态，可以被视为从D3膜世界体积膜突起。突起的覆盖区具有有限的尺寸-PFT中的非局部性的尺度-并且对应于PFT中的算子插入。我们计算这些状态的放大器，我们证明，只有部分的全息散装探索通过这种计算。然后，我们表明，剩余的空间全息编码的动态D3膜触手。这两个部门是耦合的：在这种全息描述中，这是通过全息屏幕上的量子纠缠来实现的--全息屏幕是几何学中的咽喉--它将块体分成两个区域。然后，我们提出了一个描述PFT通过直接产品的两个Fock空间-类似于其他非本地设置，采用量子群结构。
英文摘要：
The decoupling limit of a certain configuration of D3 branes in a Melvin universe defines a sector of string theory known as Puff Field Theory (PFT) - a theory with non-local dynamics but without gravity. In this work, we present a systematic analysis of the non-local states of strongly coupled PFT using gravitational holography. And we are led to a remarkable new holographic dictionary. We show that the theory admits states that may be viewed as brane protrusions from the D3 brane worldvolume. The footprint of a protrusion has finite size - the scale of non-locality in the PFT - and corresponds to an operator insertion in the PFT. We compute correlators of these states, and we demonstrate that only part of the holographic bulk is explored by this computation. We then show that the remaining space holographically encodes the dynamics of the D3 brane tentacles. The two sectors are coupled: in this holographic description, this is realized via quantum entanglement across a holographic screen - a throat in the geometry - that splits the bulk into the two regions in question. We then propose a description of PFT through a direct product of two Fock spaces - akin to other non-local settings that employ quantum group structures.
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