论文标题
2D共形场理论和全息位线中的模块化偶联
Modular conjugations in 2D conformal field theory and holographic bit threads
论文作者
论文摘要
我们研究了某些模块化偶联的几何作用，以二维（2D）形式的磁场理论。当系统处于基态，在线或圆上以及线上的热吉布斯状态时，我们研究了一个间隔给出的两部分。我们发现，在量规/重力对应关系中，在双重静态渐近渐近渐近的ADS背景中，在规格/重力对应中也获得了相应的反转图对空间切片的限制。对于在线上的热状态下的CFT，模块化的共轭表明，第二个世界的发生可以通过地球螺纹与BTZ黑色brane背景的地平线相关。还为基态的无质量毛拉武器和两分的线上构建了一个反转图。
We study the geometric action of some modular conjugations in two dimensional (2D) conformal field theories. We investigate the bipartition given by an interval when the system is in the ground state, either on the line or on the circle, and in the thermal Gibbs state on the line. We find that the restriction of the corresponding inversion maps to a spatial slice is obtained also in the gauge/gravity correspondence through the geodesic bit threads in a constant time slice of the dual static asymptotically AdS background. For a CFT in the thermal state on the line, the modular conjugation suggests the occurrence of a second world which can be related through the geodesic bit threads to the horizon of the BTZ black brane background. An inversion map is constructed also for the massless Dirac fermion in the ground state and on the line bipartite by the union of two disjoint intervals.
