2D quantum gravity partition function on the fluctuating sphere

doi:10.1007/JHEP09(2022)126

2D quantum gravity partition function on the fluctuating sphere

2022-09-16

3

OA

AI

DOI：10.1007/JHEP09(2022)126

Original

Original request for help

Save

Abstract

En 中文

Motivated by recent works on the connection between 2D quantum gravity and timelike Liouville theory, we revisit the latter and clarify some aspects of the computation of its partition function: we present a detailed computation of the Liouville partition function on the fluctuating sphere at finite values of the central charge. The results for both the spacelike theory and the timelike theory are given, and their properties analyzed. We discuss the derivation of the partition function from the DOZZ formula, its derivation using the Coulomb gas approach, a semiclassical computation of it using the fixed area saddle point, and, finally, we arrive to an exact expression for the timelike partition function whose expansion can be compared with the 3-loop perturbative calculations reported in the literature. We also discuss the connection to the 2D black hole and other related topics.

Keywords:

2D Gravity

Conformal and W Symmetry

Conformal Field Models in String Theory

Field Theories in Lower Dimensions

2D quantum gravity partition function on the fluctuating sphere

Abstract

Journal

Organization