论文标题

广告中的边界和批量运输概念$ _3 $/cft $ _2 $通讯

Boundary and bulk notions of transport in the AdS$_3$/CFT$_2$ correspondence

论文作者

Chen, Bowen, Czech, Bartlomiej, de Boer, Jan, Lamprou, Lampros, Wang, Zi-zhi

论文摘要

我们在全息二维形成性场理论中构建了操作员,该理论在代码子空间中作为任意散装空间矢量场作用。构造的关键是散装时空和运动空间中的平行传输之间的相互作用。我们概述了挑战,这是当将相同的构造扩展到及时的矢量场时会出现。我们还绘制了几种应用,包括大量riemann张量,Dreibein和自旋连接的边界公式,以及用于全息复杂性的应用。

We construct operators in holographic two-dimensional conformal field theory, which act locally in the code subspace as arbitrary bulk spacelike vector fields. Key to the construction is an interplay between parallel transport in the bulk spacetime and in kinematic space. We outline challenges, which arise when the same construction is extended to timelike vector fields. We also sketch several applications, including boundary formulations of the bulk Riemann tensor, dreibein, and spin connection, as well as an application to holographic complexity.

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