论文标题
四种耦合的SYK型号和几乎广告$ _2 $重力：可穿越的虫洞和Bra-Ket虫洞中的相位过渡
Four coupled SYK models and Nearly AdS$_2$ gravities: Phase Transitions in Traversable wormholes and in Bra-ket wormholes
论文作者
论文摘要
我们研究了四个耦合的SYK型号和几乎广告$ _2 $重力。在SYK模型侧，我们构建了一个模型，该模型将两个耦合SYK模型的副本耦合。在几乎广告中，$ _2 $重力方面，我们将物质字段纠缠为两份可穿越的虫洞。在这两种情况下，系统通过更改耦合在零温度下均显示一阶相变，这被理解为可穿越的蠕虫构型的交换。在几乎广告中，$ _2 $重力案例，通过交换空间和时间的作用，将虫洞解释为烤孔孔孔。在洛伦兹（Lorentzian）的签名中，这些烤面包孔孔导致两个封闭的宇宙彼此纠缠在一起，并且在平面空间中没有动力学重力。我们研究了投影或纠缠操作对扁平空间的影响，并在烤面包孔中引起相变，从而导致封闭宇宙的逐对消灭。我们使用这些烤面包孔孔，讨论将2D全息CFT中嵌入状态嵌入许多2D自由场的Hilbert空间的方式。
We study four coupled SYK models and nearly AdS$_2$ gravities. In the SYK model side, we construct a model that couples two copies of two coupled SYK models. In nearly AdS$_2$ gravity side, we entangle matter fields in two copies of traversable wormholes. In both cases, the systems show first order phase transitions at zero temperature by changing couplings, which is understood as the exchange of traversable wormhole configurations. In nearly AdS$_2$ gravity cases, by exchanging the role of space and time the wormholes are interpreted as bra-ket wormholes. In Lorentzian signature, these bra-ket wormholes lead to two closed universes that are entangled with each other as well as matter fields in the flat space without dynamical gravity. We study the effect of projection or entangling operation for matters on flat spaces and they cause phase transitions in bra-ket wormholes, which leads to the pair annihilation of closed universes. Using these bra-ket wormholes, we discuss the way to embed states in 2d holographic CFTs into Hilbert space of many 2d free fields.
