论文标题

关于洛伦兹拓扑变化JT重力的评论

Comments on Lorentzian topology change in JT gravity

论文作者

Usatyuk, Mykhaylo

论文摘要

我们为Lorentzian Jackiw-teitelboim(JT)重力路径积分提出了一个定义,其中包括Lorentzian拓扑更改配置。该构建的灵感来自于奇异洛伦兹世界上的玻色弦弦属扩展,几何形状被称为灯酮图,发挥了重要作用。 Lorentzian路径积分是通过欧几里得路径积分的合适分析延续来定义的,并包括在隔离点下变性的指标,允许Lorentzian拓扑改变过渡。我们讨论欧几里得JT振幅与拟议的洛伦兹振幅之间的关系。

We propose a definition for the Lorentzian Jackiw-Teitelboim (JT) gravity path integral that includes Lorentzian topology changing configurations. The construction is inspired by the bosonic string genus expansion on singular Lorentzian worldsheets, with geometries known as lightcone diagrams playing a prominent role. The Lorentzian path integral is defined through a suitable analytic continuation of the Euclidean path integral, and includes metrics that become degenerate at isolated points allowing for Lorentzian topology changing transitions. We discuss the relation between Euclidean JT amplitudes and the proposed Lorentzian amplitudes.

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