Liouville field theory with heavy charges. II. The conformal boundary case

Abstract

We develop a general technique for computing functional integrals with fixed area and boundary length constraints. The correct quantum dimensions for the vertex functions are recovered by properly regularizing the Green function. Explicit computation is given for the one point function providing the first one loop check of the bootstrap formula.

arXiv commentLaTeX 26 pages

References in corpus (10)

• Structure Constants and Conformal Bootstrap in Liouville Field Theory
• Liouville theory revisited
• Boundary Liouville Field Theory: Boundary Three Point Function
• Bulk-Boundary Propagator in Liouville Theory on a Disc
• Semiclassical and quantum Liouville theory on the sphere
• Standard and geometric approaches to quantum Liouville theory on the pseudosphere
• The tetrahedron graph in Liouville theory on the pseudosphere
• Quantum Liouville theory on the pseudosphere with heavy charges
• Boundary conformal field theories on random surfaces and the non-critical open string
• Non-critical open strings beyond the semi-classical approximation

Cited by in corpus (7)

• Entanglement hamiltonian and entanglement contour in inhomogeneous 1D critical systems
• Analytic bootstrap and Witten diagrams for the ABJM Wilson line as defect CFT${}_1$
• Riemann-Hilbert treatment of Liouville theory on the torus
• On classical and semiclassical properties of the Liouville theory with defects
• Replica Wormholes from Liouville Theory
• Riemann-Hilbert treatment of Liouville theory on the torus: The general case
• Non invariant zeta-function regularization in quantum Liouville theory