论文标题

非扰动JT重力和超级重力的探索

Explorations of Non-Perturbative JT Gravity and Supergravity

论文作者

Johnson, Clifford V.

论文摘要

探索了一些最近提出的对最小弦模型组合的Jackiw-teitelboim重力和超级重力的定义,重点关注时空拓扑的扰动扩张以外的物理学。尽管这正式涉及求解无限顺序的非线性微分方程,但可以证明,可以使用分析和数值方法的组合在简单的受控截断方案中提取物理学以任意高精度。非扰动光谱密度明确计算和展示。还计算和显示了涉及虫洞几何形状至关重要的非扰动贡献的完整光谱形式因素,并显示了特征“斜率”,“ dip”,“坡道”,“坡道”和“ plateau'特征的非扰动细节。强调的是,这种结果很可能很可能使用相同的方法很容易针对其他类型的JT重力提取。

Some recently proposed definitions of Jackiw-Teitelboim gravity and supergravities in terms of combinations of minimal string models are explored, with a focus on physics beyond the perturbative expansion in spacetime topology. While this formally involves solving infinite order non-linear differential equations, it is shown that the physics can be extracted to arbitrarily high accuracy in a simple controlled truncation scheme, using a combination of analytical and numerical methods. The non-perturbative spectral densities are explicitly computed and exhibited. The full spectral form factors, involving crucial non-perturbative contributions from wormhole geometries, are also computed and displayed, showing the non-perturbative details of the characteristic `slope', `dip', `ramp' and `plateau' features. It is emphasized that results of this kind can most likely be readily extracted for other types of JT gravity using the same methods.

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