Boundary correlation numbers in one matrix model

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....

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Bibliographic Details
Published in:Physics letters. B 2010-11, Vol.694 (3), p.272-277
Main Authors: Ishiki, Goro, Rim, Chaiho
Format: Article
Language:English
Subjects:
Boundaries
Boundary conditions
Boundary correlation
Correlation
Disks
Elementary particles
Exact sciences and technology
Liouville gravity
Mathematical analysis
Mathematical models
Matrix model
Nuclear physics
Physics
The physics of elementary particles and fields
Vectors (mathematics)
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Summary: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.
ISSN:0370-2693
1873-2445
DOI:10.1016/j.physletb.2010.10.001