Semiclassical limit of the FZZT Liouville theory
arXiv:hep-th/0603164 · doi:10.1016/j.nuclphysb.2006.08.027
Abstract
The semiclassical limit of the FZZT Liouville theory on the upper half plane with bulk operators of arbitrary type and with elliptic boundary operators is analyzed. We prove the Polyakov conjecture for an appropriate classical Liouville action. This action is calculated in a number of cases: one bulk operator of arbitrary type, one bulk and one boundary, and two boundary elliptic operators. The results are in agreement with the classical limits of the corresponding quantum correlators.
arXiv comment27 pages, 2 figures
References in corpus (23)
- Structure Constants and Conformal Bootstrap in Liouville Field Theory
- Two and three-point functions in Liouville theory
- Liouville theory revisited
- Liouville Field Theory -- A decade after the revolution
- On the Liouville three-point function
- Clebsch-Gordan and Racah-Wigner coefficients for a continuous series of representations of U_q(sl(2,R))
- Liouville field theory on a pseudosphere
- Liouville bootstrap via harmonic analysis on a noncompact quantum group
- Remarks on Liouville theory with boundary
- Boundary Liouville Field Theory: Boundary Three Point Function
- Bulk-Boundary Propagator in Liouville Theory on a Disc
- Classical geometry from the quantum Liouville theory
- Topics in Quantum Geometry of Riemann Surfaces: Two-Dimensional Quantum Gravity
- Proof of Polyakov conjecture for general elliptic singularities
- Liouville theory and uniformization of four-punctured sphere
- Quantum Liouville theory in the background field formalism I. Compact Riemann surfaces
- Semiclassical and quantum Liouville theory on the sphere
- Classical Liouville action on the sphere with three hyperbolic singularities
- Liouville Theory on the Pseudosphere: Bulk-Boundary Structure Constant
- Standard and geometric approaches to quantum Liouville theory on the pseudosphere
- Polyakov conjecture for hyperbolic singularities
- Liouville Perturbation Theory
- The tetrahedron graph in Liouville theory on the pseudosphere