Boundary changing operators in the O(n) matrix model

Abstract

We continue the study of boundary operators in the dense O(n) model on the random lattice. The conformal dimension of boundary operators inserted between two JS boundaries of different weight is derived from the matrix model description. Our results are in agreement with the regular lattice findings. A connection is made between the loop equations in the continuum limit and the shift relations of boundary Liouville 3-points functions obtained from Boundary Ground Ring approach.

31 pages, 4 figures, Introduction and Conclusion improved

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Cited by in corpus (6)

• Conformal boundary conditions in the critical O(n) model and dilute loop models
• Boundary operators in minimal Liouville gravity and matrix models
• Boundary transitions of the O(n) model on a dynamical lattice
• Bulk-boundary correlators in the hermitian matrix model and minimal Liouville gravity
• Nested algebraic Bethe ansatz for open GL(N) spin chains with projected K-matrices
• Boundary operators in the one-matrix model