Two-Dimensional Quantum Gravity on a Disk

Abstract

We study a two-dimensional conformal field theory coupled to quantum gravity on a disk. Using the continuum Liouville field approach, we compute three-point correlation functions of boundary operators. The structure of momentum singularities is different from that of correlation functions on a sphere and is more complicated. We also compute four-point functions of boundary operators and three-point functions of two boundary operators and one bulk operator.

18 pages

Cited by in corpus (5)

• Timelike Boundary Liouville Theory
• Boundary Ground Ring in 2D String Theory
• Correlation functions from two-dimensional string Ward identities
• Non-Compact Geometries in 2D Euclidean Quantum Gravity
• Coupling of Tachyons and Discrete States in $c=1$ 2-D Gravity