56 research outputs found
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. 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.Comment: 16 pages, 3 figures, add elaboration on matter Cardy state and
reference
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