2D quantum gravity partition function on the fluctuating sphere

• Autores: Giribet, Gaston Enrique; Leoni, Matías
• Año de publicación: 2022
• Idioma: inglés
• Tipo de recurso: artículo
• Materia: 2D GRAVITY; CONFORMAL AND W SYMMETRY; CONFORMAL FIELD MODELS IN STRING THEORY; FIELD THEORIES IN LOWER DIMENSIONS
• Institución: Consejo Nacional de Investigaciones Científicas y Técnicas

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.
Fil: Giribet, Gaston Enrique. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física de Buenos Aires. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física de Buenos Aires; Argentina
Fil: Leoni, Matías. Universidad de Buenos Aires; Argentina