JT gravity in de Sitter space and the problem of time

被引：1

作者：

Nanda, Kanhu Kishore ^{[1
]}

Sake, Sunil Kumar ^{[2
]}

Trivedi, Sandip P. ^{[1
]}

机构：

[1] Tata Inst Fundamental Res, Dept Theoret Phys, Mumbai 400005, India

[2] Osaka Univ, Dept Phys, Toyonaka, Osaka 5600043, Japan

来源：

JOURNAL OF HIGH ENERGY PHYSICS | 2024年 / 2024卷 / 02期

关键词：

2D Gravity; de Sitter space; Models of Quantum Gravity; AdS-CFT Correspondence; QUANTUM-GRAVITY; MATRIX;

D O I：

10.1007/JHEP02(2024)145

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 discuss the canonical quantisation of JT gravity in de Sitter space, following earlier work by Henneaux, with particular attention to the problem of time. Choosing the dilaton as the physical clock, we define a norm and operator expectation values for states and explore the classical limit. We find that requiring a conserved and finite norm and well-defined expectation values for operators imposes significant restrictions on states, as does the requirement of a classical limit. However, these requirements can all be met, with the dilaton providing a satisfactory physical clock. We construct several examples and analyse them in detail. We find that in fact an infinite number of states exist which meet the various conditions mentioned above.

引用

页数：76