Boundary operators in the O(n) and RSOS matrix models

Abstract

We study the new boundary condition of the O(n) model proposed by Jacobsen and Saleur using the matrix model. The spectrum of boundary operators and their conformal weights are obtained by solving the loop equations. Using the diagrammatic expansion of the matrix model as well as the loop equations, we make an explicit correspondence between the new boundary condition of the O(n) model and the "alternating height" boundary conditions in RSOS model.

29 pages, 4 figures; version to appear in JHEP

References in corpus (15)

• Logarithmic Minimal Models
• Boundary Liouville Field Theory: Boundary Three Point Function
• Unitary representations of $U_{q}(\mathfrak{sl}(2,\RR))$, the modular double, and the multiparticle q-deformed Toda chains
• Strings with Discrete Target Space
• Bulk-Boundary Propagator in Liouville Theory on a Disc
• Gauge Invariant Matrix Model for the Â-D-Ê Closed Strings
• Conformal boundary loop models
• One-boundary Temperley-Lieb algebras in the XXZ and loop models
• Boundary Liouville Theory and 2D Quantum Gravity
• Boundary Correlators in 2D Quantum Gravity: Liouville versus Discrete Approach
• Loop Gas Model for Open Strings
• Conformal two-boundary loop model on the annulus
• The Temperley-Lieb algebra and its generalizations in the Potts and XXZ models
• Boundary Loop Models and 2D Quantum Gravity
• Structure of the two-boundary XXZ model with non-diagonal boundary terms

Cited by in corpus (12)

• Conformal boundary conditions in the critical O(n) model and dilute loop models
• Enumeration of maps with self avoiding loops and the O(n) model on random lattices of all topologies
• Boundary correlation numbers in one matrix model
• Boundary operators in minimal Liouville gravity and matrix models
• Bulk one-point function on disk in one-matrix model
• Boundary transitions of the O(n) model on a dynamical lattice
• Boundary changing operators in the O(n) matrix model
• Open minimal strings and open Gelfand-Dickey hierarchies
• Nested algebraic Bethe ansatz for open GL(N) spin chains with projected K-matrices
• Minimal gravity and Frobenius manifolds: bulk correlation on sphere and disk
• Boundary operators in the one-matrix model
• Projecting Three-dimensional Protein Structure into a One-dimensional Character Code Utilizing the Automated Protein Structure Analysis Method