Boundary correlation numbers in one matrix model

Details Boundary correlation numbers in one matrix model Boundary correlation numbers in one matrix model

2010-06-20

arxiv.org/abs/1006.3906v2

Phys.Lett.B694:272-277,2010

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1016/j.physletb.2010.10.001

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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