Boundary operators in the one-matrix model

Abstract

The one matrix model is known to reproduce in the continuum limit the (2,2p+1) minimal Liouville gravity. Recently, two of the authors have shown how to construct arbitrary critical boundary conditions within this matrix model. So far, between two such boundary conditions only one boundary operator was constructed. In this paper, we explain how to construct all the set of boundary operators that can be inserted. As a consistency check, we reproduce the corresponding Liouville boundary 2pt function from the matrix model correlator. In addition, we remark a connection between a matrix model relation and the boundary ground ring operator insertion in the continuum theory.

18 pages, 3 figures

References in corpus (15)

• 2D Gravity and Random Matrices
• Ground Ring Of Two Dimensional String Theory
• World Sheet and Space Time Physics in Two Dimensional (Super) String Theory
• On Correlation Numbers in 2D Minimal Gravity and Matrix Models
• Boundary Liouville Theory and 2D Quantum Gravity
• Boundary Correlators in 2D Quantum Gravity: Liouville versus Discrete Approach
• Boundary Ground Ring in 2D String Theory
• Minimal Open Strings
• Boundary correlation numbers in one matrix model
• Boundary operators in the O(n) and RSOS 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
• Genus Zero Correlation Functions in c<1 String Theory
• Correlation Functions and Multicritical Flows in $c<1$ String Theory

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• FZZT Brane Relations in the Presence of Boundary Magnetic Fields
• Wronskians, dualities and FZZT-Cardy branes