Sphere and disk partition functions in Liouville and in matrix integrals

被引：13

作者：

Mahajan, Raghu ^{[1
]}

Stanford, Douglas ^{[1
]}

Yan, Cynthia ^{[1
]}

机构：

[1] Stanford Univ, Stanford Inst Theoret Phys, Stanford, CA 94305 USA

来源：

JOURNAL OF HIGH ENERGY PHYSICS | 2022年 / 2022卷 / 07期

关键词：

2D Gravity; Conformal Field Models in String Theory; Matrix Models; Scale and Conformal Symmetries; SIGMA-MODEL APPROACH; GRAVITY; ENTROPY;

D O I：

10.1007/JHEP07(2022)132

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

We compute the sphere and disk partition functions in semiclassical Liouville and analogous quantities in double-scaled matrix integrals. The quantity sphere/disk(2) is unambiguous and we find a precise numerical match between the Liouville answer and the matrix integral answer. An application is to show that the sphere partition function in JT gravity is infinite.

引用

页数：27

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