2D Dilaton Gravity and the Weil-Petersson Volumes with Conical Defects

被引：5

作者：

Eberhardt, Lorenz ^{[1
]}

Turiaci, Gustavo J. ^{[1
,2
]}

机构：

[1] Inst Adv Study, Einstein Dr, Princeton, NJ 08540 USA

[2] Univ Washington, Phys Dept, Seattle, WA USA

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2024年 / 405卷 / 04期

基金：

美国国家科学基金会;

关键词：

MODULI SPACE; INTERSECTION THEORY; CURVES;

D O I：

10.1007/s00220-024-04964-1

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We derive the Weil-Petersson measure on the moduli space of hyperbolic surfaces with defects of arbitrary opening angles and use this to compute its volume. We conjecture a matrix integral computing the corresponding volumes and confirm agreement in simple cases. We combine this mathematical result with the equivariant localization approach to Jackiw-Teitelboim gravity to justify a proposed exact solution of pure 2d dilaton gravity for a large class of dilaton potentials.

引用

页数：38

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