期刊
JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 9, 页码 -出版社
SPRINGER
DOI: 10.1007/JHEP09(2021)116
关键词
2D Gravity; Models of Quantum Gravity
资金
- Royal Society
- STFC [ST/P000258/1, ST/T000759/1]
- Netherlands Organisation for Science Research (NWO)
We studied the Euclidean path integral of two-dimensional quantum gravity with positive cosmological constant coupled to conformal matter with large and positive central charge. Our analysis involved a semiclassical expansion around a round two-sphere saddle and working in the Weyl gauge, leading to a proposal for an all orders result for the two-dimensional gravitational partition function on the two-sphere, combined with insights from the DOZZ formula.
We study the Euclidean path integral of two-dimensional quantum gravity with positive cosmological constant coupled to conformal matter with large and positive central charge. The problem is considered in a semiclassical expansion about a round two-sphere saddle. We work in the Weyl gauge whereby the computation reduces to that for a (timelike) Liouville theory. We present results up to two-loops, including a discussion of contributions stemming from the gauge fixing procedure. We exhibit cancelations of ultraviolet divergences and provide a path integral computation of the central charge for timelike Liouville theory. Combining our analysis with insights from the DOZZ formula we are led to a proposal for an all orders result for the two-dimensional gravitational partition function on the two-sphere.
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