Quantum Liouville theory on the pseudosphere with heavy charges

Abstract

We develop a perturbative expansion of quantum Liouville theory on the pseudosphere around the background generated by heavy charges. Explicit results are presented for the one and two point functions corresponding to the summation of infinite classes of standard perturbative graphs. The results are compared to the one point function and to a special case of the two point function derived by Zamolodchikov and Zamolodchikov in the bootstrap approach, finding complete agreement. A partial summation of the conformal block is also obtained.

LaTeX, 10 pages

References in corpus (2)

• Semiclassical and quantum Liouville theory on the sphere
• Standard and geometric approaches to quantum Liouville theory on the pseudosphere

Cited by in corpus (8)

• Entanglement hamiltonian and entanglement contour in inhomogeneous 1D critical systems
• Analytic bootstrap and Witten diagrams for the ABJM Wilson line as defect CFT${}_1$
• Heavy-Heavy-Light-Light correlators in Liouville theory
• Riemann-Hilbert treatment of Liouville theory on the torus
• Liouville field theory with heavy charges. I. The pseudosphere
• Liouville field theory with heavy charges. II. The conformal boundary case
• Riemann-Hilbert treatment of Liouville theory on the torus: The general case
• Non invariant zeta-function regularization in quantum Liouville theory