Boundary correlation numbers in one matrix model

Abstract

We introduce one matrix model coupled to multi-flavor vectors. The two-flavor vector model is demonstrated to reproduce the two-point correlation numbers of boundary primary fields of two dimensional (2, 2p+1) minimal Liouville gravity on disk, generalizing the loop operator (resolvent) description. The model can properly describe non-trivial boundary conditions for the matter Cardy state as well as for the Liouville field. From this we propose that the n-flavor vector model will be suited for producing the boundary correlation numbers with n different boundary conditions on disk.

16 pages, 3 figures, add elaboration on matter Cardy state and references

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• Conformal boundary loop models
• On Correlation Numbers in 2D Minimal Gravity and Matrix Models
• Boundary operators in the O(n) and RSOS matrix models
• Perturbed Conformal Field Theory on Fluctuating Sphere
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Cited by in corpus (3)

• Boundary operators in minimal Liouville gravity and matrix models
• The Spectrum of FZZT Branes Beyond the Planar Limit
• Boundary operators in the one-matrix model