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arXiv · 1006.3906

Boundary correlation numbers in one matrix model

Goro Ishiki·Chaiho Rim
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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.

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Goro Ishiki, Chaiho Rim. 2010-10-01. Boundary correlation numbers in one matrix model. https://doi.org/10.1016/j.physletb.2010.10.001

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