States of a chiral 2D CFT
States of a chiral 2D CFT
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DOI：
10.1088/0264-9381/28/4/045004
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发表时间：
2010-11
影响因子：
3.5
通讯作者：
V. Balasubramanian;Jamie Parsons;S. Ross
中科院分区：
文献类型：
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作者：
V. Balasubramanian;Jamie Parsons;S. Ross
我们研究了自对偶轨道的对偶描述，这是一个局部的AdS3时空，它是AdS2上的圆纤维化，并作为极端BTZ黑洞的近视界极限出现。几何有两个边界，我们认为，这应该对应于鞍点的两个副本的手征CFT生活在这两个边界上的纠缠态。这幅图自然出现在近视界极限，但由于边界之间的因果关系，与体物理学存在潜在的不一致。我们讨论这个难题的一个可能的解决方案。我们还构造几何渐近方法的自对偶orbifold在一个单一的边界。这些几何形状（其中包含温和的奇异性）使我们能够探索其他国家的双重手征CFT。其中一个几何形状对应于该CFT的基态，并且可以作为BTZ M = 0黑洞的特定近视界极限来获得。自对偶轨道是这种几何的有限温度版本。
We study the dual description of the self-dual orbifold, a locally AdS3 spacetime which is a circle fibration over AdS2 and arises as the near-horizon limit of the extreme BTZ black hole. The geometry has two boundaries; we argue that this should correspond to a saddle-point for two copies of a chiral CFT living on these two boundaries in an entangled state. This picture arises naturally in the near-horizon limit, but there is a potential inconsistency with the bulk physics because of causal connections between the boundaries. We discuss a possible resolution of this puzzle. We also construct geometries which asymptotically approach the self-dual orbifold on a single boundary. These geometries (which contain mild singularities) enable us to explore other states of the dual chiral CFT. One of the geometries corresponds to the ground state of this CFT and can be obtained as a particular near-horizon limit of the BTZ M = 0 black hole. The self-dual orbifold is a finite temperature version of this geometry.