论文标题
2D重力中的量子混乱
Quantum chaos in 2D gravity
论文作者
论文摘要
我们在二维重力的情况下，提出了量子混乱的千古阶段的定量和完全非扰动的描述。为此，我们描述了半经典2D重力的双扰动完成，其相关的宇宙场理论。我们分析的指导原理是全息重线的千古阶段的风味 - 矩阵理论（FMT），它表现出$ \ mathrm {u}（n | n）$因果对称性断裂和恢复。仅JT重力及其2D-Gravity表亲就没有意识到因果对称性的作用原理，但是我们证明了他们的{\ IT宇宙场理论}，Kodaira-Spencer（KS）的重力理论。在KS理论中直接从Brane-Antibrane相关因子得出FMT之后，我们表明，可以从不同（拓扑）D-Brane真空吸尘器上几何理解因果对称性破裂和恢复。我们根据全体形态Chern-Simons理论及其封闭串等效的重力理论之间的开放式串联双重性来解释我们的结果。将重点放在将这些几何原理与量子段相的特征光谱相关性联系起来。
We present a quantitative and fully non-perturbative description of the ergodic phase of quantum chaos in the setting of two-dimensional gravity. To this end we describe the doubly non-perturbative completion of semiclassical 2D gravity in terms of its associated universe field theory. The guiding principle of our analysis is a flavor-matrix theory (fMT) description of the ergodic phase of holographic gravity, which exhibits $\mathrm{U}(n|n)$ causal symmetry breaking and restoration. JT gravity and its 2D-gravity cousins alone do not realize an action principle with causal symmetry, however we demonstrate that their {\it universe field theory}, the Kodaira-Spencer (KS) theory of gravity, does. After directly deriving the fMT from brane-antibrane correlators in KS theory, we show that causal symmetry breaking and restoration can be understood geometrically in terms of different (topological) D-brane vacua. We interpret our results in terms of an open-closed string duality between holomorphic Chern-Simons theory and its closed-string equivalent, the KS theory of gravity. Emphasis will be put on relating these geometric principles to the characteristic spectral correlations of the quantum ergodic phase.
