论文标题
左/右纠缠和时间依赖的平面波绿色 - schwarz SuperString
Left/right entanglement and thermalization of time dependent plane wave Green-Schwarz superstring
论文作者
论文摘要
在这项工作中，我们研究了涉及在时间依赖的平面波背景下具有恒定的自dual Ramond-ramond 5形和线性dialaton的新问题。我们构建了一个统一的Bogoliubov发电机，该发电机将渐近平坦的SuperString Hilbert空间与有限的Hilbert Space联系起来。时间依赖的真空是$ su（1，1）\ times su（2）$相干状态的叠加，该状态具有特定的激发结构，其特征是左右移动超弦模式的凝结。我们计算时间依赖时间的左/右纠缠熵，并在SuperString两点函数的振荡器模式下执行求和。我们表明，接近无效的奇异性，纠缠熵的行为良好。特别是，对于渐近平坦的观察者，靠近奇异性的闭合超音真空看起来像是超弦热真空，这与渐近平坦的真空无等。实际上，我们表明，接近近距离的近距离热量和纠缠熵成为超对称二维气体的热力学熵。
In this work we study new issues involving the type IIB superstring in a time dependent plane wave background with a constant self-dual Ramond-Ramond 5-form and a linear dilaton in the light-like direction. We construct a unitary Bogoliubov generator which relates the asymptotically flat superstring Hilbert space to the finite time Hilbert space. The time dependent vacuum is a superposition of $SU(1, 1)\times SU(2)$ coherent states, which has a particular structure of excitation, characterized by a condensation of right and left moving supertring modes. We calculate the time dependent left/right entanglement entropy and carry out the summation over the oscillator modes of the superstring two-point function. We show that, close to the null singularity, the entanglement entropy is well-behaved. In particular, for asymptotically flat observers, the closed superstring vacuum close to the singularity appears as superstring thermal vacuum, which is unitarily inequivalent to the asymptotically flat vacuum. Actually, we show that close to the singularity the superstring thermalizes and the entanglement entropy becomes a thermodynamical entropy for a supersymmetric two-dimensional gas.
