论文标题
JT重力的宇宙场理论
A universe field theory for JT gravity
论文作者
论文摘要
我们提出了一个现场理论描述，用于在欧几里得杰基 - teitelboim（JT）重力中对婴儿宇宙的非扰动分裂和连接。我们展示了如何从Kodaira-Spencer（KS）场理论的扰动膨胀来重现的重力路径积分，该集成量可以重现，用于光谱曲线的复杂结构变形。我们将Schwinger-Dyson方程用于KS理论可以映射到拓扑递归关系。我们将JT重力的双重描述称为“宇宙场理论”。通过在目标空间几何形状中引入非紧密的D-BRANE，我们可以探测JT重力的非扰动方面。相关的操作员是通过对Neumann边界条件的JT路径积分进行的修改而获得的。 KS/JT识别表明，可以从拓扑弦理论中更标准的开放/封闭二元性来理解JT重力的集合平均值。
We present a field theory description for the non-perturbative splitting and joining of baby universes in Euclidean Jackiw-Teitelboim (JT) gravity. We show how the gravitational path integral, defined as a sum over topologies, can be reproduced from the perturbative expansion of a Kodaira-Spencer (KS) field theory for the complex structure deformations of the spectral curve. We use that the Schwinger-Dyson equations for the KS theory can be mapped to the topological recursion relations. We refer to this dual description of JT gravity as a `universe field theory'. By introducing non-compact D-branes in the target space geometry, we can probe non-perturbative aspects of JT gravity. The relevant operators are obtained through a modification of the JT path integral with Neumann boundary conditions. The KS/JT identification suggests that the ensemble average for JT gravity can be understood in terms of a more standard open/closed duality in topological string theory.
